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Q.

Train A and train B are running on parallel tracks in the opposite directions with speeds of 36km/hour and 72km/hour respectively. A person is walking in train A in the direction opposite to its motion with a  speed of 1.8km/hour. Speed (in ms-1) of this person as observed from train B will be close to: (take the distance between the tracks as negligible)

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a

29.5ms−1

b

28.5ms−1

c

31.5 ms−1

d

30.5 ms−1

answer is A.

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Detailed Solution

VA=10m/s                         VB=−20 m/s   Velocity of person w.r.t train A,  VPA=−0.5m/s∴ Velocity of person⇒VP=VPA+VA=-0.5+10=9.5m/s And  VPB=VP−VB=9.5−−20=29.5 m/s
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Train A and train B are running on parallel tracks in the opposite directions with speeds of 36km/hour and 72km/hour respectively. A person is walking in train A in the direction opposite to its motion with a  speed of 1.8km/hour. Speed (in ms-1) of this person as observed from train B will be close to: (take the distance between the tracks as negligible)