Question

Ex. (3)
W
A boat travels 16 km upstream
and 24 km downstream in 6
The same boat travels 36 km
upstream and 48 km downstreanm
hours
in 13 hours.
Find the speed of water current and speed of boat in still water.​

Answer 1

Step-by-step explanation:

Let the speed of the boat in still water be x km/hr and the speed of water current be y km/hr. speed of boat in downstream = (x + y) km/hr and that in upstream = (x - y) km/hr. Now distance = speed x time Time = distance/speed Time taken by the boat to travel 16 km upstream = 16/(x-y) hours and it takes 24/(x+y) hours to travel 24 km downstream. from first condition

HERE WRITE THE PIC EXPLANATION

- Solving equations (III) and (IV) m = 1/4, n = 1/12 Repalcing m, n by their original values we get x - y = 4 . . . (V) x + y = 12 . . . (VI) Solving equations (V), (VI) we get x = 8, y = 4 speed of the boat in still water is 8 km/hr. and speed of water current is 4 km/hrRead more on Sarthaks.com - https://www.sarthaks.com/368812/a-boat-travels-16-km-upstream-and-24-km-downstream-in-6-hours