1)

A man swimming in a stream which flows 1.5 kmph, finds that in a given time he can swim twice as fast with the stream as he can against it. At what rate does he swim ?


A) 4 km/hr

B) 4.5 km/hr

C) 5 km/hr

D) 5.5 km/hr

E) 6 km/hr.

Answer:

Option B

Explanation:

Rate of stream $=1.5$ km/hr

Let speed of man in still water $=x$ km/hr and Distance $=d$

Upstream speed $=(x-1.5)$ km/hr Downstream speed $=(x+1.5)$ km/hr

Given, $\frac{2d}{(x+1.5)}$ $=\frac{d}{(x-1.5)}$

$\Rightarrow 2x-3$ $=x+1.5$ $\Rightarrow x$ = 4.5 km/hr.