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A certain man can row a boat at 12 miles per hour in still water. If

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A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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New post 04 Apr 2017, 05:29
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A
B
C
D
E

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  5% (low)

Question Stats:

86% (00:57) correct 14% (01:44) wrong based on 122 sessions

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Re: A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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New post 04 Apr 2017, 09:03
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Bunuel wrote:
A certain man can row a boat at 12 miles per hour in still water. If he is rowing against an 8 mile per hour current how long will it take him to row 6 miles?

A. 2
B. 1.5
C. 1.25
D. 0.6
E. 0.5


In ONE HOUR, the man can travel 12 miles in STILL WATER, but while rowing against the current, the man LOSES 8 miles to the current.
So, the NET gain is 4 miles in ONE HOUR

So, at a rate of 4 miles per hour, how long will it take to travel 6 miles?
time = distance/rate
= 6/4
= 1.5 hours

Answer:

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Re: A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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New post 04 Apr 2017, 11:06
Bunuel wrote:
A certain man can row a boat at 12 miles per hour in still water. If he is rowing against an 8 mile per hour current how long will it take him to row 6 miles?

A. 2
B. 1.5
C. 1.25
D. 0.6
E. 0.5


Speed against current will be 12 m/hr - 8 m/hr = 4 m/hr

Time taken to cover 6 miles will be 6/4 = 1.5 hour...

Thus, answer must be (B) 1.5 Hours.
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Re: A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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New post 04 Apr 2017, 12:19
distance = speed x time
6 = (12 - 8) x time
6 = 4t

time = 1.5

Answer B
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Re: A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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New post 24 Nov 2018, 09:21
Without Current:

\(Rate =\frac{Distance}{Time}\)

\(Rate = \frac{12}{1} = 12\)

With 8 MPH Current:

\(Rate =\frac{(12-8)}{1}\)

\(Rate = \frac{4}{1} = 4\)

Time to row 6 miles:

\(Distance = Rate*Time\)

\(6 = 4T\)

\(\frac{6}{4} = T\)

\(1.5 = T\) (Answer B)
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Re: A certain man can row a boat at 12 miles per hour in still water. If   [#permalink] 24 Nov 2018, 09:21
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