A bird flies to and fro between two cars which move with velocities v1 = 20 m/s and v2= 30 m/s. If the speed of the bird is v3 = 10m/s and the initial distance of separation between them is d = 2 km, find the total distance covered by the bird till the cars meet.

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2000 m

1000 m

400 m

200 m

answer is C.

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Detailed Solution

Time to meet the cars : t = dv1+v2Distance travelled by bird in this times = v3t = v3dv1+v2 = 10×2000(20+30) = 400 m

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