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# Three men are in a canoe on a river that has a downstream current of 6

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Math Expert
Joined: 02 Sep 2009
Posts: 61283
Three men are in a canoe on a river that has a downstream current of 6  [#permalink]

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07 May 2017, 12:44
1
1
00:00

Difficulty:

45% (medium)

Question Stats:

76% (01:47) correct 24% (01:53) wrong based on 130 sessions

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Three men are in a canoe on a river that has a downstream current of 6 miles per hour. If the men together can paddle at maximum speed of 14 mph (without the current), then how long will it take them to travel from their camp to the waterfall 24 miles upstream and back?

A. 6 hours
B. 4 hours 20 minutes
C. 4 hours 12 minutes
D. 3 hours 11 minutes
E. 3 hours

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Joined: 24 Apr 2016
Posts: 311
Re: Three men are in a canoe on a river that has a downstream current of 6  [#permalink]

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07 May 2017, 13:21
Given:
Men together can paddle at maximum speed of 14 mph
Downstream current of 6 miles per hour.
Distance of camp to the waterfall - 24 miles

Derived from given information:
Cumulative Upstream Speed at which the men can paddle together = 14 - 6 = 8 mph
Cumulative Downstream Speed at which the men can paddle together = 14 + 6 = 20 mph

Time taken to go upstream to the waterfall = 24/8 = 3 hours
Time taken to go downstream from waterfall to camp = 24/20 =6/5 hours = 72 minutes = 1 hour 12 minutes

Total Time = 3 hours + 1 hour 12 minutes = 4 hours 12 minutes

Answer is C. 4 hours 12 minutes
Re: Three men are in a canoe on a river that has a downstream current of 6   [#permalink] 07 May 2017, 13:21
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