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in Distance, Time and Speed by (49.2k points)
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Two trains each 100 m long moving in opposite directions cross each other in 8 seconds. If one is moving twice as fast as the other, then the speed of the faster train is 

(a) 30 km/hr 

(b) 45 km/hr 

(c) 60 km/hr 

(d) 75 km/hr

1 Answer

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Best answer

(c) 60 km/hr

Let the speeds of the two trains be x m/s and 2x m/s respectively. 

Since both the trains are moving in opposite directions, their relative speed = (x + 2x) m/s = 3x m/s

Given, \(\frac{110\,m+100\,m}{3x}=8\)

⇒ \(x\) = \(\frac{200}{24}\) m/s = \(\bigg(\frac{200}{24}\times\frac{18}{5}\bigg)\) km/hr = 30 km/hr 

∴ Speed of the faster train = 60 km/hr.

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