#Weird Algebra word problems

33 messages · Page 1 of 1 (latest)

lunar cairn
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Harry rode his bike the length of a new bike trail and then rode an extra 8 km, all in 5 hours. The next day it took him 3 hours to ride just the new bike trail. His speed on the second day was 3/2 times his speed on the first day. How long is the bike trial?

rich mulchBOT
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lunar cairn
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So I got 8 for the bike trail but ChatGPT says it’s 72 which is an absurdly high number for a bike trail.

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This is the work I did

tropic solar
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NEVER

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EVER

lunar cairn
tropic solar
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just dont use it

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let me set up the word problem

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$\frac{x+8}{5}=\frac{x}{3}*\frac{3}{2}$

bronze lanceBOT
tropic solar
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which is $\frac{x+8}{5}=\frac{x}{2}$

bronze lanceBOT
tropic solar
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and should be +8 not -8

lunar cairn
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Okay, I’m fixing it right now

tropic solar
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alright

lunar cairn
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I changed it an still got 8

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That’s weird

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I guess math is glitching today

tropic solar
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let me see

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...

tropic solar
lunar cairn
tropic solar
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right hand side

tropic solar
lunar cairn
tropic solar
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x is the track distance

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so x+8 would be what he ran on the first day