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A man can row 24 km upstream and 54 km downstream in 6 hours. He can also row 36 km upstream and 48 km downstream in 8 hours. What is the speed of the man in still water ?

A) 18.75 km/h
B) 19 25 km/h
C) 17.65 km/h
D) 15.55 km/h
E) 22.75 km/h

Correct Answer:


B) 19 25 km/h

Description for Correct answer:
Let the speed of man upstream = x km/h

and the speed of man downstream = ykn/h

According to question,

\( \Large \frac{24}{x} \) + \( \Large \frac{54}{y} \) = 6

\( \Large \frac{4}{x} \) + \( \Large \frac{9}{y} \) = 1 ....(i)

and \( \Large \frac{36}{x} \) + \( \Large \frac{48}{y} \) = 8

\( \Large \frac{9}{x} \) + \( \Large \frac{12}{y} \) = 2 ..........(ii)

Solving equations (i) and (ii), we get

x = \( \Large \frac{11}{} \) , y = 33

Speed of boat in still water = ( \( \Large \frac{x + y}{2} \)) km /h

= \( \Large \frac{1}{2} \) [ \( \Large \frac{11}{2} \) + 33]

= \( \Large \frac{77}{4} \) = 19.25 km/h

Part of solved SBI JuniorAssociate-6 questions and answers : Exams >> Bank Exams >> SBI JuniorAssociate-6

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