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

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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04 Apr 2017, 04:29
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:45) correct 14% (01:21) wrong based on 95 sessions

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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

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Posts: 3237
Re: A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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04 Apr 2017, 08:03
Top Contributor
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

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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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04 Apr 2017, 10:06
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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Joined: 06 Dec 2016
Posts: 249
Re: A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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04 Apr 2017, 11:19
distance = speed x time
6 = (12 - 8) x time
6 = 4t

time = 1.5

Intern
Joined: 29 Sep 2018
Posts: 12
Re: A certain man can row a boat at 12 miles per hour in still water. If  [#permalink]

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24 Nov 2018, 08:21
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)
Re: A certain man can row a boat at 12 miles per hour in still water. If &nbs [#permalink] 24 Nov 2018, 08:21
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