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A man can row three-quarters of a kilometre against the stream in \( \Large \frac{45}{4} \) min and return in \( \Large \frac{15}{2} \) min. The speed of the man in still water is :

A) 2 km/h
B) 3 km/h
C) 4 km/h
D) 5 km/h
E) 6 km/h

Correct Answer:




D) 5 km/h

Description for Correct answer:
Upstream speed = \( \Large \frac{Distance}{Time} \)

=\( \Large \frac{ \left(\frac{3}{4}\right) }{\frac{45}{4} \times \frac{1}{60}} =\frac{3 \times 4 \times 60}{4 \times 45} \)

=\( \Large 4km/h \)

Distance Down stream speed = \( \Large \frac{Distance}{Time} \)

=\( \Large \frac{ \left(\frac{3}{4}\right) }{\frac{15}{2} \times \frac{1}{60}} =\frac{3 \times 2 \times 60}{4 \times 15} \)

=\( \Large 6km/h \)

speed of man in still water = \( \Large \frac{Upstream speed + Downstream speed}{2} \)

= \( \Large \frac{4 + 6}{2} = 5km/h \)

Part of solved SBI JuniorAssociates-Prelims questions and answers : Exams >> Bank Exams >> SBI JuniorAssociates-Prelims

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