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A boat traveled upstream a distance of 90 iles at ana

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A boat traveled upstream a distance of 90 iles at ana [#permalink] New post 25 Dec 2007, 06:24
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A boat traveled upstream a distance of 90 iles at ana average speed of (v-3) mph and then traveled the same distance downstream at an average speed of (V+3) mph. If the upstream took half an hour longer than the trip downstream how many hours did it take the boat to travel downstream?
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 [#permalink] New post 25 Dec 2007, 14:00
I searched the forum and the answer is 2.5 hours, although I have not found a clear explanation for a short cut.
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Re: PS - Boat Speed [#permalink] New post 25 Dec 2007, 23:53
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gregspirited wrote:
A boat traveled upstream a distance of 90 iles at ana average speed of (v-3) mph and then traveled the same distance downstream at an average speed of (V+3) mph. If the upstream took half an hour longer than the trip downstream how many hours did it take the boat to travel downstream?


(90/v-3) - (90/v+3) = 1/2
Solve for v = 33

time down = 90/v+3 = 90/36 = 2.5 hrs.
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 [#permalink] New post 26 Dec 2007, 17:06
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i dont know if my approach works, maybe i just messed the math up somewhere.

I had two euqations:

90/tupstream = v-3

90/tdownstream = v+3

tupstream=tdownstream + 0.5

tdownstream = 90/v+3
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Re: PS - Boat Speed [#permalink] New post 04 Feb 2008, 19:06
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the math is ugly though -- square root of 1089? BLECH!
Re: PS - Boat Speed   [#permalink] 04 Feb 2008, 19:06
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