this question makes no sense even gauth maths gave an answer that isnt one of the options
this is for the guy im tutoring btw not me
#dfm on a mad one
keen sand
spiral grail
so:
4 days in total
day 1:
60 minutes - s=vt, v=s/t - so v=1/t, where t is an integer
day 2 - 4:
v=1/t+5
v=1/t+10
v=1/t+15
distance is also an integer
hm
brisk hatch
this question makes no sense even gauth maths gave an answer that isnt one of th...
Im fairly certain this is how you do it
Say the speeds of the four days are a,b,c and d
let one mile = x, and the time be in minutes
a = x/t
b = x/(t+5)
c = x/(t+10)
d = x/(t+15)
total distance over four days is 60(a + b + c + d)
= 60x/t + 60x/(t+5) + 60x/(t+10) + 60x/(t+15)
All of these different distances are integers, so
t|60
t + 5|60
t + 10|60
t + 15|60
x is just one, so it divides 60 and 60x for clarification
Factors of 60 are 1,2,3,4,5,6,10,12,15,20,30
Since all of the above divide it, we get that t has to be 5 for this to work, since 5, 10, 15 and 20 all divide 60
And then with t as 5, we get total distance as 25 miles
keen sand
Im fairly certain this is how you do it
Say the speeds of the four days are a,b,...
oh my days tysm!!!!
just a quick question why did you do 60(a+b+c+d) like how did you know how to do that
brisk hatch
D = s*t
Time is 60 minutes, speed is the different speeds
I just wrote 60(a+b+c+d) bc it was quicker to type than 60a + 60b + 60c + 60d
And each 60 * speed was the distance travelled on each respective day
A day 1, b day 2, c day 3 and d day 4
spiral grail
okay im glad I was on the right lines