Question 104

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water ?

Solution

Let the speed of boat in still water and speed of river be B km/hr and R km/hr respectively

speed of boat in downstream = (B+R) km/hr

speed of boat in upstream = (B-R) km/hr

Distance covered = 16 km

it is given that tie taken ti move 16 km downstream is 2 hours and for upstream it is 4 hours

16 = (B+R) 2 .............(1)

16 = (B-R) 4...............(2)

from equation 1 and 2

B = 6 km/hr

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