Question

A motorboat goes downstream in a river and covers the distance between two coastal towns in 5 hours it covers this distance upstream in 6 hours if the speed of the stream is 2 km per hour find the speed of the boat in still water

Answer 1

speed of stream = 3 km/hr
let speed of boat = x km/hr

now speed of guy while traveling upstream = x-3 km/hr
and while going downstream = x +3 km/hr
A/Q dis/x+3 = 5 ⇒ dis = 5(x+3) .......(1)
similarly dis/x-3 = 6 ⇒ dis = 6(x-3) ........(2)

⇒ 5x + 15 = 6x -18 ⇒ x = 33 km/hr

Answer 2

$hello \: frnd$

speed of stream→3km/h

let speed of boat→"x"km/h

speed during upstream→(x-3)km/h

speed during downstream→(x+3)km/h


↪according to question↩


time(t1)→5(x+3)....( 1 )

time(t2)→6(x-3).....(2)

→5x+16=6x-18..{from 1. & 2.}

→x=33km/h

speed is 33km/h.

hope it helps☺