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# A boat traveled upstream a distance of 90 iles at ana

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Manager
Joined: 07 Oct 2005
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A boat traveled upstream a distance of 90 iles at ana [#permalink]

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25 Dec 2007, 07:24
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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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--gregspirited

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Joined: 23 Sep 2007
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25 Dec 2007, 15:00
I searched the forum and the answer is 2.5 hours, although I have not found a clear explanation for a short cut.
Director
Joined: 09 Aug 2006
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Re: PS - Boat Speed [#permalink]

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26 Dec 2007, 00:53
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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.
SVP
Joined: 28 Dec 2005
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26 Dec 2007, 18:06
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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
Manager
Joined: 15 Nov 2007
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Re: PS - Boat Speed [#permalink]

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04 Feb 2008, 20:06
2
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the math is ugly though -- square root of 1089? BLECH!
Re: PS - Boat Speed   [#permalink] 04 Feb 2008, 20:06
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# A boat traveled upstream a distance of 90 iles at ana

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