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Question

Mathematics Question on Problem on Trains

A train 300 m long is running at a speed of 90 km/hr. How many seconds will it take to cross a 200 m long train running in the opposite direction at a speed of 60 km/hr ?

A

7 51

B

60

C

12

D

20

Answer

12

Explanation

Solution

Formula for time take = DistanceSpeed\frac{Distance}{Speed}
Sum of Length of Trains = 200 + 300 = 500
Time taken = Distance( Sum of length of trains)Relative Speed\frac{Distance(\ Sum\ of\ length \ of\ trains)}{Relative\ Speed}
Relative speed = Addition of the two speeds, since trains travelling in opposite direction.
According to the formula
t = 50090+60×518\frac{500}{90+60}× \frac{5}{18}
t = 12 seconds
The correct option is (C)