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in Commercial Mathematics by (49.1k points)
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A man can row three-quarters of a kilometer against the stream in \(11\frac 14\) minutes and return in \(7\frac 12\) minutes. The speed of the man in still water is :

(a) 2 km/hr

(b) 3 km/hr

(c) 4 km/hr

(d) 5 km/hr

1 Answer

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by (48.0k points)
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Best answer

Correct option is (d) 5 km/hr

We can write three-quarters of a kilometre as 750 metres and \(11 \frac 14\) minutes as 675 seconds.

Rate upstream is:

\(\frac{750}{675} = \frac{10}9\) m/sec.

Rate downstream is:

\(\frac{750}{450} = \frac 53\) m/sec

Therefore, rate in still water is:

Now, we convert m/sec into km/hr. as follows:

\(\frac{25}{18} \times \frac{18}5 = \) 5 km/hr.

Hence, the speed of the man in still water 5 km/hr.

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