Two trains of length 109 metre and 91 are moving in opposite directions with velocities 34 kilometre per hour and 38 kilometre per hour respectively in what time the two trains will completely cross each other?
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Answers
Relative v=38–(—34)
=72=20m/s
Speed=distance/time=109+91/20=10sec
The answer is 10.2 seconds
GIVEN
Two trains of length 109 metre and 91 are moving in opposite directions with velocities 34 kilometre per hour and 38 kilometre per hour respectively.
TO FIND
In what time the two trains will completely cross each other?
SOLUTION
We can simply solve the above problem as follows;
We know that,
Length of longer train = 109 meters
Length of Smaller train = 91 meters
Let the velocity of longer train be V₁
V₁ = 34km/hr = 34 × 5/18 = 9 m/s
Let the velocity of smaller train be V₂
V₂ = 38 km/hr = 10.5 m/s
The trains will cross each other completely when they will cross the distance equal to the sum of their lengths
Distance = 109 + 91 = 200meters
Relative velocity of the trains(V₁₂) = V₁ + V₂ = 9 + 10.5 = 19.5 m/s
Time taken to cross each other = 200/19.5 = 10.2 seconds
Hence, The answer is 10.2 seconds
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