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A man can row three-quarters of a kilometre against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in km/hr) of the man in still water is:

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1. 

A man can row three-quarters of a kilometre against the stream in 11 1-div-1by4 minutes and down the stream in 7 1-div-1by2 minutes. The speed (in km/hr) of the man in still water is:

[A]. 2
[B]. 3
[C]. 4
[D]. 5

Answer: Option D

Explanation:

We can write three-quarters of a kilometre as 750 metres,

and 111-div-1by4 minutes as 675 seconds.

Rate upstream = 1-sym-oparen-h1 750 1-sym-cparen-h1m/sec = 10 m/sec.
675 9
Rate downstream = 1-sym-oparen-h1 750 1-sym-cparen-h1m/sec = 5 m/sec.
450 3
 Rate in still water = 1 1-sym-oparen-h1 10 + 5 1-sym-cparen-h1m/sec
2 9 3
   = 25 m/sec
18
   = 1-sym-oparen-h1 25 x 18 1-sym-cparen-h1km/hr
18 5

   = 5 km/hr.

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