Rita and Sneha can row a boat at 5 km/h and 6 km/h in still water, respectively. In a river flowing with a con

Question

Rita and Sneha can row a boat at 5 km/h and 6 km/h in still water, respectively. In a river flowing with a constant velocity, Sneha takes 48 minutes more to row 14 km upstream than to row the same distance downstream. If Rita starts from a certain location in the river, and returns downstream to the same location, taking a total of 100 minutes, then the total distance, in km, Rita will cover is

Accepted Answer

Let the river speed be v km/h. For Sneha still-water speed = 6 km/h: Upstream speed = (6-v), downstream speed = (6+v). Given 14 ( 6 − v ) − 14 ( 6 + v ) = 48 \dfrac{14}{(6-v)}-\dfrac{14}{(6+v)}=48 ( 6 − v ) 14 ​ − ( 6 + v ) 14 ​ = 48 minutes =0.8 hours. So, 14 ( 6 + v − 6 + v ) 36 − v 2 = 0.8 ⇒ 28 v