Question : If a train is 75 metres long and moving at 60 km/hr, how long does it take to pass by a certain telegraph post?
Option 1: 3.5 seconds
Option 2: 4.5 seconds
Option 3: 5 seconds
Option 4: 5.4 seconds
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Correct Answer: 4.5 seconds
Solution : Given: The distance of the train is 75 m and its speed is 60 km/h. We know that, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$ To convert km/h into m/s, multiply with $\frac{5}{18}$, we get, $60\ km/h=60\times \frac{5}{18}=\frac{50}{3} m/s$ So, the train will take the required time, $\frac{75}{\frac{50}{3}}= 4.5$ seconds Hence, the correct answer is 4.5 seconds.
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Question : If a train is 60 metres long and travelling at 36 km/hr, how long will it take to pass by a telegraph post?
Option 1: 9 seconds
Option 2: 8 seconds
Option 3: 7 seconds
Option 4: 6 seconds
Question : A moving train passes a 50-metre-long platform in 14 seconds and a lamp post in 10 seconds. The speed of the train (in km/hr) is:
Option 1: 24 km/hr
Option 2: 36 km/hr
Option 3: 40 km/hr
Option 4: 45 km/hr
Question : A person travels 600 km by train at 80 km/hr, 800 km by ship at 40 km/hr, 500 km by aeroplane at 400 km/hr, and 100 km by car at 50 km/hr. What is the average speed for the entire distance?
Option 1: $65\frac{5}{123}$ km/hr
Option 2: 60 km./hr.
Option 3: $60\frac{5}{123}$ km/hr
Option 4: 62 km./hr.
Question : Two trains are moving in the same direction at 36 km/hr and 48 km/hr. The time taken by the faster train to cross a man sitting in the slower train is 33 seconds. What will be the length of the faster train?
Option 1: 770 metres
Option 2: 90 metres
Option 3: 110 metres
Option 4: 180 metres
Question : A 110 metres long train is running at a speed of 60 km/h. In what time will it pass a man who is running at 6 km/h in the direction opposite to that in which the train is going?
Option 1: 5 seconds
Option 2: 6 seconds
Option 4: 10 seconds
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