1)

A man rows 10 km upstream and back again to the starting point in 55 min. If the speed of stream is 2 km/h, find the speed of rowing in still water.


A) 22 km/h

B) 18 km/h

C) 20 km/h

D) 25 km/h

E) 28 km/h

Answer:

Option A

Explanation:

Let speed of rowing in still water $=x$ km/h

Speed of stream = 2 km/h and total time $=\frac{55}{60}$ hrs

Total Time = $\frac{Total\quad Distance} {Average\quad Speed}$

= Total Distance / ((Upstream rate$\times$ Downstream rate)/ Speed in still water)

$\frac{55} {60}$ = $\frac{x\times 2\times 10} {(x+2)(x- 2)}$

$x$ = 22 (negative value of $x$ is not possible)

Speed of rowing in still water  = 22 km/h