a a boat travels 16 km upstream and 44 km downstream in 6 hours the same boat travels 36 km upstream and 48 km downstream in 13 hours find the speed of the water current and speed of boat in still water
Answers
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 - 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/hr.Read more on Sarthaks.com - https://www.sarthaks.com/368812/a-boat-travels-16-km-upstream-and-24-km-downstream-in-6-hours