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Q.

On a long horizontally moving belt, a child runs to and fro with a speed 9 km h-1 (with respect to the belt) between his father and mother located 50 m apart. The belt moves with speed of 4 km h-1. For an observer on a stationary platform, the speed of the child running in the direction of motion of the belt is 

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a

4 km h–1

b

5 km h–1

c

9 km h–1

d

13 km h–1

answer is D.

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Detailed Solution

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VCB = 9km/h ; VB = 4kmh–1

VCB = VC – VB

9 = VC – 4 ⇒ VC = 13km/hr.

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On a long horizontally moving belt, a child runs to and fro with a speed 9 km h-1 (with respect to the belt) between his father and mother located 50 m apart. The belt moves with speed of 4 km h-1. For an observer on a stationary platform, the speed of the child running in the direction of motion of the belt is