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There is a road near a stream. Two siblings Raju and Rani started from a place A moved to a park routed at another place B and then returned to A again. Rani cycles at a speed of 16 km/h while Raju drives a boat at a speed of 20 km/h if the stream flows at a speed of 4 km/h. which of the two siblings will return to place A first?

There is a road near a stream. Two siblings Raju and Rani started from a place A moved to a park routed at another place B and then returned to A again. Rani cycles at a speed of 16 km/h while Raju drives a boat at a speed of 20 km/h if the stream flows at a speed of 4 km/h. which of the two siblings will return to place A first? Correct Answer Raju

Given:

Cycling speed of Rani = 16km/h

Speed of boat = 20km/h

Speed of stream = 4km/h

Formula used:

(1) Downstream speed (S1) = (Speed of boat + Speed of stream)

(2) Upstream speed (S2) = (Speed of boat – Speed of stream)

(3) Average speed = (2 × S1 × S2)/(S1 + S2)

Calculations:

Rani moves both ways at the same speed of 16km/h.

Raju moves downstream speed = (20 + 4) = 24km/h

Raju moves upstream speed = (20 – 4) = 16km/h

Average speed of Raju = (2 × 24 × 16)/ (24 + 16)

⇒ (2 × 24 × 16)/40

⇒ 19.2km/h

So, speed of Rani < speed of Raju.

∴ Raju will reach A first.

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