SSC CGL 2019 PYQ — Question 95

SSC CGL Tier II - Quant 13th Sep. 19 • Quantitative Aptitude • Q95

A man can row a distance of 900 metres against the stream in 12 minutes and return to the starting point in 9 minutes. What is the speed (km/h) of the man in still water? 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e.  

Let the speed of man in still water be x

Let the speed of stream be y

Relative speed of man upstream

x - y = 0.9/(1/5)

(x - y) = 0.9 × 5

(x - y) = 4.5                 →eq1

Realtive speed of man downstream

 x + y = (0.9/9) × 60

(x + y) = 6                   →eq2

Solving for x and y from eq1 and eq2

x = 4.5 + y

4.5 + 2y = 6

y = 1.5/2 = 0.725

x = 4.5 + 0.725

x = 5.25 km/hr