Question : A train 150 m long takes 20 seconds to cross a platform 450 m long. The speed of the train (in km/hr) is:
Option 1: 108 km/hr
Option 2: 100 km/hr
Option 3: 106 km/hr
Option 4: 104 km/hr
Correct Answer: 108 km/hr
Solution : Distance to be covered = 150 + 450 = 600 m Time = 20 sec $\therefore$ Speed = $\frac{600}{20}$ = 30 m/sec $= 30 × \frac{18}{5}$ = 108 km/hr Hence, the correct answer is 108 km/hr.
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Question : A passenger train, 150 m long, is travelling at a speed of 36 km/hr. If a man is cycling in the direction of a train at 9 km/hr, the time taken by the train to pass the man is:
Option 1: 10 seconds
Option 2: 15 seconds
Option 3: 18 seconds
Option 4: 20 seconds
Question : A train travelling at the speed of $x$ km/hr crossed a 300 m long platform in 30 seconds and overtook a man walking in the same direction at 6 km/hr in 20 seconds. What is the value of $x$?
Option 1: 60
Option 2: 96
Option 3: 48
Option 4: 102
Question : A train of length 180 m takes 40 seconds to cross a tunnel of length 500 m. What is the speed of the train, in km/hr?
Option 1: 71.2
Option 2: 61.2
Option 3: 80.5
Option 4: 52.5
Question : Train ‘A’ requires 15 seconds to cross train ‘B’ of length 300 m moving in the opposite direction at a speed of 36 km/hr. Further, train ‘A’ requires 30 seconds to cross a 500 m long stationary train ‘C’. Find the length (in m) of train ‘A’.
Option 1: 200
Option 2: 300
Option 3: 250
Option 4: 275
Question : A person travels a distance of 240 km, partly by train and the rest by bus. He takes $3 \frac{1}{2}$ hours if he travels 150 km by train and the rest by bus. If he travels 140 km by bus and the rest by train, he takes $3 \frac{2}{3}$ hours. What is the speed of the train?
Option 1: 80 km/hr
Option 2: 70 km/hr
Option 3: 75 km/hr
Option 4: 72 km/hr
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