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?
A. 250 B. 150 C. 100 D. 200
Correct Answer: 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, \(X=150\)
