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Question

A man standing on a road has to hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/h. He finds that raindrops are hitting his head vertically. What is the speed of rain with respect to the ground?

A
103 km/h
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B
20 km/h
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C
203 km/h
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D
103 km/h
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Solution

The correct option is B 20 km/h

Velocity of man, Vm=10 km/h
Velocity of rain w.r.t ground =Vr
Velocity of rain w.r.t man, =Vrm
From the velocity triangle,
Vrcos60=Vm
Vr=101/2=20 km/h

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