Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is?Question Description : 9.6 91010.8
Question
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is?Question Description : 9.6 91010.8
Solution
The problem involves two trains running in opposite directions. The total distance to be covered is the sum of the lengths of the two trains.
Step 1: Convert the speed of the trains from km/hr to m/s. 1 km/hr = 5/18 m/s So, 60 km/hr = 60 * (5/18) = 50/3 m/s And, 40 km/hr = 40 * (5/18) = 200/9 m/s
Step 2: When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds. So, the relative speed of the two trains = 50/3 + 200/9 = 150/9 + 200/9 = 350/9 m/s
Step 3: The time taken to cross each other is the total distance divided by the relative speed. The total distance to be covered = 140m + 160m = 300m So, the time taken = 300 / (350/9) = 300 * (9/350) = 27/3.5 = 7.71 seconds
So, the two trains take approximately 7.71 seconds to cross each other.
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