Question : Two trains 320 m and 205 m in length are running towards each other on parallel lines. One train runs at the rate of 70 kmph and the other train runs at the rate of 56 kmph. Find the time they will take to cross each other (in seconds).
Option 1: 10
Option 2: 20
Option 3: 12
Option 4: 15
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Correct Answer: 15
Solution :
Let $s$ be the relative speed of the trains, $d{_1}$ be the length of the first train, and $d{_2}$ be the length of the second train.
⇒ $s=70+56=126\mathrm{\ km/hr}=126\times \frac{5}{18}\mathrm{\ m/s}=35\mathrm{\ m/s}$
Time $=\frac{d{_1}+d{_2}}{s}=\frac{320+205}{35}=\frac{525}{35}=15$ seconds
Hence, the correct answer is 15.
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