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
B
11.2 seconds
C
9.6 seconds
D
10.4 seconds

Solution

## The correct option is B $$10.8$$ secondsRequired 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 $$=\dfrac{300\times 18}{100\times 5}=10.8$$ secondsMathematics

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