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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Question : A train of length 300 metres crosses a tree in 20 seconds and crosses another train of the same length travelling in the opposite direction in 25 seconds. What is the speed of the second train?
Option 1: 10 m/s
Option 2: 12 m/s
Option 3: 15 m/s
Option 4: 9 m/s
Question : A train travelling at 80 km/hr crosses another train travelling in the same direction at 26 km/hr in 30 seconds. What is the combined length of both the trains?
Option 1: 400 m
Option 2: 450 m
Option 3: 550 m
Option 4: 350 m
Question : Two trains of the same length are running on parallel tracks in the same direction at the speeds of 60 km/h and 90 km/h, respectively. The latter completely crosses the former in 30 seconds. The length of each train (in meters) is:
Option 1: 125
Option 2: 150
Option 3: 100
Option 4: 115
Question : Two trains, each of length 125 metres, are running in parallel tracks in opposite directions. One train is running at a speed of 65 km/hr and they cross each other in 6 seconds. The speed of the other train is:
Option 1: 75 km/hr
Option 2: 85 km/hr
Option 3: 95 km/hr
Option 4: 105 km/hr
Question : A train of length 360 m crosses an electric pole in 30 s and crosses another train of the same length travelling in the opposite direction in 15 s. What is the speed of the second train?
Option 1: 12 m/s
Option 2: 36 m/s
Option 3: 24 m/s
Option 4: 60 m/s
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