Question

Two trains for Palwal leave Kanpur at 10 a.m and 10:30 am and travel at the speeds of 60 kmph and 75 kmph respectively. After how many kilometers from Kanpur will the two trains be together?

Answer 1

Here we have been given that two trains for Palwal leave Kanpur at 10 a.m and 10:30 am and travel at the speeds of 60 kmph and 75 kmph respectively.

Let us suppose the two trains meet at x km distance, then

Time taken by First Train to cover x km = $\frac{x}{75} hr$

Time takend by 2nd Train to cover x km = $\frac{x}{60} hr$

Now, $\frac{x}{60} - \frac{x}{75} = \frac{1}{2}$

        $\frac{75x - 60x}{4500} = \frac{1}{2}$

        $\frac{15x}{4500} = \frac{1}{2}$

        $30x = 4500$

        $x = \frac{4500}{30}$

    ⇒ $x = 150 km$

Therefore, the two trains will be together at 150km.