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### Discussion :: Problems on Trains

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

2.  A. 48 km/hr B. 54 km/hr C. 66 km/hr D. 82 km/hr

Explanation :

Let the speed of the second train be x km/hr.

 Relative speed = (x + 50) km/hr = $$\left(( { x +50 } ) \times(\frac{5}{18})\right)m/sec$$ = $$\left(\frac{250+5x}{18}\right)m/sec$$

Distance covered = (108 + 112) = 220 m.

$$\frac{220}{\left(\frac{250+5x}{18}\right)}=6$$

250 + 5x = 660

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