Question : A train crosses a stationary pole in 20 seconds and a bridge in 32 seconds. If the length of the bridge is 1200 metres, then what is the speed of the train?
Option 1: 360 km/hr
Option 2: 180 km/hr
Option 3: 270 km/hr
Option 4: 450 km/hr
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Correct Answer: 360 km/hr
Solution : A train crosses a stationary pole completely in = 20 seconds and The train crosses a bridge completely in = 32 seconds. The length of the bridge is = 1200 metres Let the length and speed of the train be L meters and x m/s respectively. According to the concept, While a train crosses a pole, it crosses its own length. 20 x = L....(1) While a train crosses a bridge, it crosses the sum of its length and the length of the bridge. 32x = (L + 1200) ⇒ 32x = 20x + 1200 (From 1) ⇒ 12x = 1200 ⇒ x = 100 metres = 100 × $\frac{18}{5}$ = 360 km/hr Hence, the correct answer is 360 km/hr.
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Question : A train can cross a 1200-metre-long bridge completely in 16 seconds. It can cross a 1600-metre-long bridge completely in 20 seconds. What is the speed of the train?
Option 2: 450 km/hr
Option 3: 540 km/hr
Option 4: 270 km/hr
Question : A train crosses a stationary pole completely in 18 seconds and a bridge completely in 44 seconds. If the length of the bridge is 650 meters, then what is the length of the train?
Option 1: 540 m
Option 2: 360 m
Option 3: 450 m
Option 4: 270 m
Question : A 900-metre-long train crosses a 1200 metres long platform completely in 70 seconds. What is the speed of the train?
Option 1: 117 km/hr
Option 2: 108 km/hr
Option 3: 99 km/hr
Option 4: 90 km/hr
Question : A 1000-metre-long train is running at the speed of 72 km/hr. If it crosses a bridge in 85 seconds, then what is the length of the bridge?
Option 1: 800 metres
Option 2: 700 metres
Option 3: 950 metres
Option 4: 750 metres
Question : Train P crosses train Q completely in 45 seconds while running in opposite directions. The lengths of train P and train Q are 1200 metres and 1500 metres respectively. The speed of train Q is 144 km/hr. In how much time can train P to cross an 1800 metres long platform?
Option 1: 180 seconds
Option 2: 175 seconds
Option 3: 120 seconds
Option 4: 150 seconds
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