Question : A train 150 m long passes a km stone in 30 seconds and another train, of the same length and travelling in the opposite direction, in 10 seconds. The speed of the second train is:
Option 1: 90 km/h
Option 2: 125 km/h
Option 3: 25 km/h
Option 4: 75 km/h
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Correct Answer: 90 km/h
Solution :
Speed of train A = $\frac{150}{30}$ = 5 m/sec
Let the speed of train B = $x$ m/sec
Relative speed = $(5+x)$ m/sec
Length of both trains = Relative speed × Time
⇒ $300=(5+x)×10$
⇒ $300=(50+10x)$
⇒ $x=\frac{250}{10}$ = $25$ m/sec
To convert this into km/h, multiply by $\frac{18}{5}$,
⇒ $25×\frac{18}{5}$ = $90$ km/h
Hence, the correct answer is 90 km/h.
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