1.

How much time does a train 50 m long moving at 68 km/hr take to pass another train 75 m long moving at 50 km/hr in the same direction? (a) 5 seconds (b) 10 seconds (c) 20 seconds (d) 25 seconds

Answer»

(d) 25 seconds

Since the trains are moving in the same direction the relative speed of the faster train w.r.t. the slower train = Difference of their speeds

= (68 – 50) km/hr = 18 km/hr = \(\bigg(18\times\frac{5}{18}\bigg)\) m/sec

= 5 m/sec

Distance travelled = Sum of the lengths of the two trains = (50 + 75) m = 125 m

∴ Required time = \(\frac{125}{5}\) seconds = 25 seconds.



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