Question

12) A steamer covers a certain distance upstream in a river in five and half hours. It
covers the same distance downstream in five hours. Find the speed of the steamer in
still water, when speed of the stream is 1.5 km/hr.​

Answer 1

Step-by-step explanation:

speed of boat = X

speed of the streem = Y = 1.5 kmph

speed in up streem= X - Y = X - 1,5

time = 5 1/2 hours= 11/2 hours

distance = speed × time

=( X -15) × 11/2

speed in down streem X-+Y = X + 1. 5

time =5 hour

distance= speed × time

= (X + 1.5) 5

in both cases distance is same

(X -1.5)11/2 = ( X + 1.5) 5

11X - 16.5= (X + 1.5)× 10

11X - 16.5 = 10 X + 15

15+16.5 = 11 X -10 X

31.5= X

speed of boat = X = 31.5 kmph in still water