Question : A train can completely cross a 1000-metre-long bridge in 15 seconds. It can completely cross another 1300-metre-long bridge in 19 seconds. What is the length of the train?
Option 1: 125 metres
Option 2: 200 metres
Option 3: 150 metres
Option 4: 175 metres
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Correct Answer: 125 metres
Solution : Given: A train can completely cross a 100-metre-long bridge in 15 seconds. It can completely cross another 1300-metre-long bridge in 19 seconds. Let the length of the train $x$. According to the question, $\frac{(100+x)}{15} = \frac{(1300+x)}{19}$ $\Rightarrow 19000+19x = 19500 + 15x$ $\Rightarrow 4x = 500$ $\Rightarrow x = \frac{500}{4}$ $\Rightarrow x = 125 $ metres Hence, the correct answer is 125 metres.
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Question : A train having a length of 330 metres takes 11 seconds to cross a 550 metres long bridge. How much time will the train take to cross a 570 metres long bridge?
Option 1: $\frac{45}{4}$ seconds
Option 2: $\frac{47}{4}$ seconds
Option 3: $20$ seconds
Option 4: $16$ seconds
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 1: 360 km/hr
Option 2: 450 km/hr
Option 3: 540 km/hr
Option 4: 270 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
Question : An 800-metre-long train can pass a stationary pole completely in 72 seconds. A 1200 -metre-long train can also pass a stationary pole completely in 72 seconds. If both the trains are running in the same direction, then the faster train, coming from behind the slower train, can cross the slower train in how much time?
Option 1: 240 seconds
Option 2: 360 seconds
Option 3: 280 seconds
Option 4: 480 seconds
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