If sum of upstream and downstream speed of a boat is 82 kmph and the boat travels 105 km upstream in...........

Quant (SSC) Boats and Streams

If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 141 km downstream.

5hrs

4hrs

3hrs

2hrs

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Explanation:

Speed of Upstream =u-v
Speed of Downstream = u+v
u-v+u+v=82
2u=82
u=41km/hr.
41 – v = 105/3 = 35
v = 6 km/hr
then,
u + v= 141/t
41 + 6 = 141/t
t = 141/47 = 3 hrs.

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