Two trains for Palwal leave Kanpur at 10 am and 10:30 am and travel at the speeds of \(60 \mathrm{Kmph}\) and \(75 \mathrm{Kmph}\) respectively. After how many kilometers from Kanpur will the two trains be together?
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Correct Answer: Option B
Explanation:
Let the two trains meet at \(\mathrm{X} \mathrm{km}\) distance.
Time taken by the first train to cover \(\mathrm{X} \mathrm{km}=\mathrm{X} / 75\) hours
Time taken by \(2 \mathrm{nd}\) train to cover \(\mathrm{X} \mathrm{km}=\mathrm{X} / 60\) hours
Now, \(X / 60-X / 75=1 / 2\)
thus, \(X=150\)
Let the two trains meet at \(\mathrm{X} \mathrm{km}\) distance.
Time taken by the first train to cover \(\mathrm{X} \mathrm{km}=\mathrm{X} / 75\) hours
Time taken by \(2 \mathrm{nd}\) train to cover \(\mathrm{X} \mathrm{km}=\mathrm{X} / 60\) hours
Now, \(X / 60-X / 75=1 / 2\)
thus, \(X=150\)