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Question

A 100m long train crosses a man travelling at 5km/hr in opposite direction, in 7.2 seconds then the velocity of train is

A
40km/hr
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B
25km/hr
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C
20km/hr
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D
45km/hr
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Solution

The correct option is D 45km/hr
Let the velocity of train be VT

Given: velocity of train VM=5km/hr=5×518m/s=2518m/s

and time =7.2s

Relative velocity= VR=VT+VM

VR=(VT+518)m/s

Use formula:

Time=distancespeed

7.2=100(VT+518)

72VT+100=1000

72VT=900

VT=90072

VT=1008m/s

VT=100×188×5km/hr

VT=45km/hr

Correct answer is 45km\hr





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