Question : Two trains that are 125 m and 99 m in length, respectively, are running in opposite directions at the speeds of 40 km/h and 32 km/hr, respectively. In how much time will they be completely clear of each other from the moment they meet?
Option 1: 10.2 sec
Option 2: 11.2 sec
Option 3: 9.2 sec
Option 4: 12.2 sec
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Correct Answer: 11.2 sec
Solution : The total distance to be covered = 125 m + 99 m = 224 m The relative speed of the two trains when they are moving in opposite directions is the sum of their speeds. The relative speed = 40 km/h + 32 km/h = 72 km/h = $72\times \frac{5}{18}$ = 20 m/sec The time taken for the trains to be completely clear of each other $=\frac{224\;\mathrm{m}}{20\;\mathrm{m/sec}} = 11.2\;\mathrm{sec}$ Hence, the correct answer is $11.2\;\mathrm{sec}$.
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