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
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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