Question

A boat travels 30 km upstream in a river in the same period of time as it takes to travel 50 km downstream. If the speed of river current is 5 km/h, find the speed of the boat in still water.​

Answer 1

Answer:

Solution

verified

Verified by Toppr

Let the speed of boat be (x−5) in upstream and (x+5) in downstream

s=

t

d

or t=

s

d

⇒

5

30

=6hours and

5

50

=10hours

then the equation will be 6(x+5)=10(x−5)

6x+30=10x−50

⇒10x−6x=30+50

⇒4x=80

⇒x=

4

80

=20

speed of the boat in still water is 20kmph