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The rowing speed of a man in still water is 7.5 kmph. In a river flowi

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Bunuel
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The rowing speed of a man in still water is 7.5 kmph. In a river flowi [#permalink] The rowing speed of a man in still water is 7.5 kmph. In a river flowi   10 Jan 2020, 04:37
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The rowing speed of a man in still water is 7.5 kmph. In a river flowing at 1.5 kmph, it takes the same boatman 50 minutes to row a certain distance and come back. Find the distance (one way).

A. 1 km
B. 2 km
C. 3 km
D. 4 km
E. 6 km
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C
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Re: The rowing speed of a man in still water is 7.5 kmph. In a river flowi [#permalink] The rowing speed of a man in still water is 7.5 kmph. In a river flowi   14 Jan 2020, 10:17
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The rowing speed of a man in still water is 7.5 kmph. In a river flowing at 1.5 kmph, it takes the same boatman 50 minutes to row a certain distance and come back. Find the distance (one way).

A. 1 km
B. 2 km
C. 3 km
D. 4 km
E. 6 km
Upstream speed = 6 kmph
Downstream speed = 9 kmph

Let one way distance be d km

So, \(\frac{d}{6} + \frac{d}{9} = \frac{5}{6}\)

Or, \(\frac{2d + 3d}{18} = \frac{15}{18}\)

Or, \(5d = 15\)

So, \(d = 3\) , Hence Answer must be (C) 3 Km
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Re: The rowing speed of a man in still water is 7.5 kmph. In a river flowi [#permalink] The rowing speed of a man in still water is 7.5 kmph. In a river flowi   15 Jan 2020, 23:59
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Given that, Speed of man in still water =7.5 kmph
Speed of current = 1.5 kmph
Speed of boatman along with the current = 7.50+ 1.5 = 9 kmph
Speed of boatman against the current = 7.50 -1.5 = 6 kmph
Let the distance be d miles



d/9 + d/6 = 50/60
5d/18 = 50/60
5d/18 = 5/6
d/3 = 1
d = 3 miles(C)
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Re: The rowing speed of a man in still water is 7.5 kmph. In a river flowi [#permalink] The rowing speed of a man in still water is 7.5 kmph. In a river flowi   16 Jan 2020, 07:30
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Bunuel
The rowing speed of a man in still water is 7.5 kmph. In a river flowing at 1.5 kmph, it takes the same boatman 50 minutes to row a certain distance and come back. Find the distance (one way).

A. 1 km
B. 2 km
C. 3 km
D. 4 km
E. 6 km

His speed with the current is 9 kmph, and his speed against the current is 6 kmph. We see that 50 minutes is 50/60 = ⅚ of an hour. Letting D = the one-way distance, we can create the time equation as:

D/9 + D/6 = 5/6

Multiplying by 90, we have:

10D + 15D = 75

25D = 75

D = 3

Answer: C
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Re: The rowing speed of a man in still water is 7.5 kmph. In a river flowi [#permalink] The rowing speed of a man in still water is 7.5 kmph. In a river flowi   30 Aug 2021, 09:05
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Re: The rowing speed of a man in still water is 7.5 kmph. In a river flowi [#permalink]
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