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Question

Mathematics Question on Problem on Trains

A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from the opposite direction in 6 seconds. The speed of the second train is

A

48 km/hr

B

54 km/hr

C

66 km/hr

D

82 km/hr

Answer

82 km/hr

Explanation

Solution

The correct option is (D):Lengths of both trains =108+112=220m108 + 112 = 220m
Speed of train1 = 50 km/hr
Speed of train2 = xxkm/hr
Relative speeds of both trains (in m/s) =(50+x)×518(50+x)\times\frac{5}{18}
Using speed(50+x)×518=2206(50+x)\times\frac{5}{18}=\frac{220}{6}
50+x=13250 + x = 132
x=13250=82x = 132 − 50 = 82
\therefore Speed of second train = 82 km/hr