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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. What is the time (in seconds) which they take to cross each other?


A
10.8 seconds
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B
11.2 seconds
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C
9.6 seconds
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D
10.4 seconds
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Solution

The correct option is B $$10.8$$ seconds
Required time $$\displaystyle =\frac{\text{Total distance}}{\text{Relative speed}}=\dfrac{\text{Sum of the lengths of the two trains}}{\text{Sum of speeds}}$$
$$\displaystyle =\frac{(140+160)\times 18}{(60+40)\times 5}$$ seconds $$=\dfrac{300\times 18}{100\times 5}=10.8$$ seconds

Mathematics

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