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A boatman rows to a place 48 km distant and back in 14 hours. He finds

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A boatman rows to a place 48 km distant and back in 14 hours. He finds  [#permalink]

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New post 10 Jan 2020, 03:33
2
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

25% (04:54) correct 75% (02:00) wrong based on 8 sessions

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A boatman rows to a place 48 km distant and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the rate of the stream.

A. 1 km/h
B. 2 km/h
C. 3 km/h
D. 4 km/h
E. 5 km/h
Spoiler: OA

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Re: A boatman rows to a place 48 km distant and back in 14 hours. He finds  [#permalink]

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New post 10 Jan 2020, 05:05
2
Suppose he move 4 km downstream in x hours
Then,
Speed downstream = 4x
km/hr
Speed upstream = 3x
km/hr
∴48(4/x)+48(3/x)=14 or x=12

So, Speed downstream = 8 km/hr
Speed upstream = 6 km/hr
∴ Rate of the stream
= 12
(8 - 6) km/hr
= 1 km/hr
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Re: A boatman rows to a place 48 km distant and back in 14 hours. He finds   [#permalink] 10 Jan 2020, 05:05
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