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Question

The ratio of speeds of a motorboat to that of the current of water is 36 : 5. The motorboat goes along with the current in 5 hours 10 minutes. The time required by the motorboat to come back is equal to

A
6 hours 50 minutes
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B
10 hours 20 minutes
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C
6 hours
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D
12 hours
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Solution

The correct option is A 6 hours 50 minutes
Let the common factor of speeds of a motorboat to that of the current of water be x.
Then, the speed of the motorboat = 36x km/h and the speed of the current = 5x km/h.
Motorboat goes along with the current in 5 h 10 m 1060h=31060h=316h

Speed of downstream = 36x + 5x = 41x km/h
Speed of upstream = 36x – 5x = 31x km/h
Now, distance covered by downstream

= speed of downstream ' Time taken =41x×3106km
Similarly, distance covered by upstream is also 41x×31060km

Time taken by upstream=Distance covered by upstreamSpeed of upstream=41x× 31631x=416=656
= 6h 50 min
Thus, the time required by the motorboat to come back is equal to 6 hours 50 minutes.
Hence, the correct answer is option (1).

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