1)

A motor boat can travel at 10 km/h in still water .If travelled 91 km downstream in a river and then returned ,taking altogether 20 hrs .Find the rate of flow of river 


A) 3 km/h

B) 4 km/h

C) 4.5 km/h

D) 5 km/h

E) 5.26 km/h

Answer:

Option A

Explanation:

Speed of boat in still water = 10 km /h

Let rate of flow of river $=y$ km/h

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

= $\frac{Total\quad Distance\times Speed\quad in\quad still\quad water} {Upstream\quad Downstream}$

$20=$ $\left(\frac{2\times 91\times 10} {(10+y)(10-y)}\right)$

 $y$ = 3 km/h