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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