#Time and Work problem

206 messages · Page 1 of 1 (latest)

river ether
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If 9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hrs. a day can make pillars 4 times the previous number?

Is it possible to find a arithmetic answer to this question? I have tried it many times but answer is not coming.The answer, according to the book is 75days.

IMG_20241224_180054.jpg
thin vigilBOT
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midnight crescent
river ether
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No

midnight crescent
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oh

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uhhh

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how to explain

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this is just ratio bash

river ether
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Is this sum possible to solve?

river ether
midnight crescent
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i have to refresh tho

river ether
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Cam you please try this sum and tell me ?

prisma verge
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it's simple ratios and proportions

river ether
# prisma verge it's simple ratios and proportions

Its not actually simple if you observe the question carefully. The efficiency of the man and boy is not given and you cant assume it too. Can you just try and tell me if the answer is coming 75 days?

prisma verge
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why can't you

river ether
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We cannot assume that the efficiency of men and boys is the same because, in practical scenarios, there is often a difference in work capacity due to factors like physical strength, skill, or experience. In problems like this, men and boys are treated as having different rates of work, and their contributions are typically expressed as ratios or relative efficiencies.

prisma verge
river ether
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Only when the efficiency between work of men and boys are at a certain ratio , thr total days become 75 days .

dark laurelBOT
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@river ether

<:HelpIcon:1304095958283321385>| Help Reminder

Hello puzzy_cat_yt, this is a friendly reminder that your help request has been inactive for more than 24 hours. If you no longer need assistance, please consider closing the thread using the +close command. This thread will be automatically closed in 3 days if it remains inactive.

dark laurelBOT
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@prisma verge @midnight crescent The thread creator still needs help with this help request.

lunar field
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ill try to help

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one sec

river ether
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Hi

lunar field
lunar field
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u put 8 hrs

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is it 8 or 10

river ether
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8hrs

lunar field
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ok then

lunar field
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tell

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for this

river ether
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9M+15B in 42day - 12 pillars
9M+15B in 1day - (12/42) pillars

lunar field
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yea

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ok give me like 10 min ill be back (in class)

river ether
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Ok try to solve it

lunar field
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ill break it down for u

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now since they work only for 10hrs

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in 1 day

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how many pillars can they actually make

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1 day - 24 hrs
? days - 10 hrs.

river ether
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Is your answer coming 75 days ?

lunar field
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i didnt do the sum

river ether
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In book the answer is 75 days. And also you have to find a relation between efficiency of men and boy

lunar field
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yes

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ik

river ether
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Can you try and send me the full solution. I would help me a lot.

lunar field
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sry that sounded a little mean

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but

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i cant type out the whole thing

river ether
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I know, You can't find a correct solution in any platform like google or quora .

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I have searched the whole internet but couldn't find the sum

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I am not asking you to type the whole thing, just do in pen and paper and send me the pic of the paper.

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I have a tutor, but he couldn't solve this sum , thats why in order to learn a sum i came here.

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This sum is just too difficult and rare, such that you can't find the solution in any platform.

midnight crescent
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@river ether it’s against the rules to dump full solutions

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?tag helping

jovial frostBOT
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**When helping people, please do not dump the full solution. **
Remember that these people are trying to learn concepts, and our goal should be to reinforce them. Giving them a solution will not help.

**Instead, give them hints and guide them toward the correct solution. **
You can ask things like "what part did you get stuck on?" or "what have you tried so far?" or give them a small starting hint. This ensures better learning. For more tips, reach out to Schlaumau (@schlaumau).

river ether
midnight crescent
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👍

urban turret
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My issue is that there doesn’t seem to be any indication of the efficiency of a man/boy

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It might not matter though

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Could it just be that they are treated as equals

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Try 24 workers and 34 workers respectively

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If you use equal efficiency I don’t think you get 75 days as an answer

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If you think about it logically it would take the original workforce 168 days to build 4 times the pillars

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How could the new workforce possibly do that in less than half the time

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I don’t think it can be 75

lunar field
lunar field
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rather than combining the man and the boys as a common workforce

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  • if you took it as a workforce it must be lesser than 75 i believe..
river ether
lunar field
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try and see.

river ether
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I tried and it answer didn't match with the original one

lunar field
river ether
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So now ? What to do....

lunar field
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of the man and the boy first

inner socket
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i think what the question means by stating "boy" is that he does half the work of man.

inner socket
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altho my answer is wrong it says that the boys does negative work to come up with 75 days .

river ether
urban turret
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There are too many unknown variables

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You have unlimited combinations

dusk tusk
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double check the answer just in-case

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I got 148 days as my final answer, although I did my steps right

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which is odd

midnight crescent
jovial frostBOT
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**When helping people, please do not dump the full solution. **
Remember that these people are trying to learn concepts, and our goal should be to reinforce them. Giving them a solution will not help.

**Instead, give them hints and guide them toward the correct solution. **
You can ask things like "what part did you get stuck on?" or "what have you tried so far?" or give them a small starting hint. This ensures better learning. For more tips, reach out to Schlaumau (@schlaumau).

lunar field
lunar field
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now each do 10 hrs work

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keep man as M and boys B.
in 1 day how many hrs are they working? 10 hrs.
so 10/24 days
now 9M are needed for 10/24 days means
1M how many days?
similarly 15B needed for 10/24 days means
1B how many days?

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@river ether @urban turret

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this should give you a better clarity of the problem.

lunar field
# urban turret You have unlimited combinations

hmmm sometimes rather than overthinking and contemplating about the solution, you have gotta read the q 2-3 times, tbh this has been 3-4 yrs since i did this, yet slowly reading and starting the problem again from scratch may actually help.

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@river ether if you have been doing this problem for over a long time i suggest you take a little break like 10-15 min refresh and comeback.

river ether
river ether
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If we cant find any relationship then at the end we will get the answer in terms of B and M .

lunar field
lunar field
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prob the ans will become clear.

lunar field
river ether
lunar field
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i have

river ether
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Did you got the answer correct!

lunar field
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prob or prob not

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say

river ether
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Can we talk in dm ?

lunar field
lunar field
river ether
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I just want to ask you the process and nothing else .

lunar field
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You feel we have 2 unknown variables and see even if my method is efficient isnt it @river ether

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ill give you an example to clear up ur doubt alr? just ping me if you want to me to tell the example

river ether
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You can't dump the complete answer here. Its against the rules. So i am telling you to send in my dm

lunar field
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not the whole soln

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  • i wont give you the whole soln as i want you to think understand and learn.
river ether
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Tell me how to do it then ...

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I hope its worth it.

lunar field
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now how many days do you think it will take them?

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just say longer amount of time or shorter amount of time

river ether
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More

lunar field
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why would it be less

river ether
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More men - less days to complete the work
Less men - more days to complete the work
Just inverse variation

lunar field
river ether
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Thats what i said . I think. Oh no i typo

lunar field
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why

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oh

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mb

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dont create a new one

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@prisma verge sorry for the ping are you gonna delete

river ether
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?

lunar field
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nothing then ill continue

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you could also say 2M + 2B = 4 -----> ||this eqn itself is kind of highly debateable but im just using it as an example here for u.||

so M+B =2
MATHEMATICALLY its right... but LOGICALLY its wrong..
so now thats why we get the efficiency of each man and boy..

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@river ether

river ether
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Yeah i get it

lunar field
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what is the efficiency of 1 man and 1 boy?

prisma verge
river ether
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8

prisma verge
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was joking

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sorry

lunar field
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oh np

lunar field
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tht prob is the ans for no. of days im asking for 1 boy and 1 man each

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efficiency

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Or take it like this

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in 1 day how much work does 1 man do?

river ether
lunar field
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in maths

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if you get the ans like "the height of a boy is 1000m" you dont question it as long as its mathematically right

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you arent going to say "Biologically this man was born to short parents with 2 toe nails hence he should be 998m"

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ok then ill put in a better perspective

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@river ether
I work 24 hrs a day
you work 24 hours a day.
in 1 day me and you have worked how many hours?

upbeat rune
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simple ahh

lunar field
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hes overthinking i believe

river ether
lunar field
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its just 24 hrs..

upbeat rune
# river ether 48 hours.

we're not adding the hours together because in 1 day, theres only 24 hours so the max amount of hours you and i could have worked is ?

lunar field
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he has understood

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yet he believes he hasnt.

river ether
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Bro i know these basic concepts. I am not a 1st grader.

lunar field
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efficiency of 1 man

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in 1 day

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@river ether please talk here.

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not in my dms.

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@river ether I say message here, i cant give u full soln its against the rules my friend.

river ether
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Ok no need . I am closing this thread. Now there is no chance to complete the sum.

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+close

dark laurelBOT
# river ether +close
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dark laurelBOT
# dark laurel

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lunar field
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probably

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ill leave this sum

river ether
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Thanks for your efforts.

lunar field
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to @upbeat rune

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he can help u

lunar field
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mugging up stuff

river ether
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I don't mugg up stuffs and i am not that one of student. I do maths because i like them not for my homework purpose or something else.I am just enthusiastic that you solved the sum which i took nearly 1 month but couldn't solve.