Question

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 1

The Correct Option is D

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