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In a stream with a current of 5 kilometers per hour a boat

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Manager
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Joined: 25 Feb 2008
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In a stream with a current of 5 kilometers per hour a boat [#permalink] New post 21 Mar 2008, 05:18
In a stream with a current of 5 kilometers per hour a boat made a trip downstream from point A to a point B and then back upstream from point B to point A. Measured in still water, the boat’s average speed for the trip was 15 kilometers per hour. Measured in the stream, what was the boat’s average speed for the trip in kilometers per hour?
16 2/3
15
14 ½
13 1/3
13
Please explain your answer.
Optional: time you spend on this question
1 KUDOS received
Manager
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Joined: 20 Aug 2007
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Re: boat in the river [#permalink] New post 21 Mar 2008, 05:50
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Capthan wrote:
In a stream with a current of 5 kilometers per hour a boat made a trip downstream from point A to a point B and then back upstream from point B to point A. Measured in still water, the boat’s average speed for the trip was 15 kilometers per hour. Measured in the stream, what was the boat’s average speed for the trip in kilometers per hour?
16 2/3
15
14 ½
13 1/3
13
Please explain your answer.
Optional: time you spend on this question



Let distance from A to B = S
downstream speed = 15+5=20 .... time used = S/20
upstream speed = 15-5=10 .... time used = S/10

average speed = total distance/total time spend
=2S / (3S/20)
= 40/3
= 13 1/3


edit for typo
Re: boat in the river   [#permalink] 21 Mar 2008, 05:50
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In a stream with a current of 5 kilometers per hour a boat

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