Two trains, each of length 135 meters, are travelling in opposite directions with speeds 90 kmph and 35 m/sec. The time taken (in seconds) by the two trains to cross each other is
Question
Two trains, each of length 135 meters, are travelling in opposite directions with speeds 90 kmph and 35 m/sec. The time taken (in seconds) by the two trains to cross each other is
Solution
To solve this problem, we first need to convert all the units to the same type. Here, we have speeds in km/h and m/s. Let's convert 90 km/h to m/s.
1 km = 1000 m 1 hour = 3600 seconds
So, 90 km/h = 90 * 1000 / 3600 = 25 m/s
Now, both the speeds are in m/s. The speed of the first train is 25 m/s and the speed of the second train is 35 m/s.
When two objects are moving in opposite directions, their relative speed is the sum of their speeds. So, the relative speed of the two trains is 25 + 35 = 60 m/s.
The total length of the two trains is 135 + 135 = 270 meters.
The time taken to cross each other is the total length divided by the relative speed.
So, the time taken = 270 / 60 = 4.5 seconds.
Therefore, the two trains will take 4.5 seconds to cross each other.
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