1)

A motor boat goes 15 km against the stream running at 4 km/h and back in 2 hours. The speed in km/h of the motorboat in still  water is 


A) 16

B) 15

C) 13.5

D) 18

E) 19

Answer:

Option A

Explanation:

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

Downstream speed $=(x+4)$ km/h

Upstream speed  $=(x-4)$ km/h

$\frac{15}{x-4}+\frac{15}{x+4}$ $=2$

$x$ = 16, -1

Speed cannot be negative, so $x$ = 16 km/h