Adriver rowing at the speed of 3 km/hr in still water takes double the time going 50 km upstream compared to going 50 km downstream. The speed of the diver against the stream is:
2 km/hr
The correct answer is Option 3 i.e. 2 km/hr.
Let the speed of the stream be y km/hr
Speed Upstream = x - y = 3 - y
Speed sownstream = x + y = 3 + y
Time upstream = 2 × Time downstream
⇒ 50/(3 - y) = 2 × 50/(3 + y)
⇒ 1/(3 - y) = 2 × 1/(3 + y)
⇒ (3 + y) = 2(3 - y)
⇒ 3 + y = 6 - 2y
⇒ 3y = 3
⇒ y = 1
Speed against the stream(Upstream) = 3 - y = 3 - 1 = 2 km/hr
Similar Questions
A diver rowing at the speed of 3 km/h in still water takes double the time going 50 km upstream compared to going 50 km downstream. The speed of the diver downstream is:
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