Question

Two stations b and m are 465 km distant. A train starts from b towards m at 10 am with the speed 65 km / hr. Another train leaves from m towards b at 11 am with the speed 35 km / hr. Find the time when both the trains meet.

Answer 1

The time when both the trains meet is 3 pm

Solution:

Distance between b and m = 465 km

A train starts from b towards m at 10 am with the speed 65 km / hr

Another train leaves from m towards b at 11 am with the speed 35 km / hr

In 1 hour i.e. from 10 am to 11 am A travel 65 km

Both the trains are moving towards each other, their relative speed is:

Relative speed = 65 + 35 = 100 km/hr

Time taken by them to cover (465 – 65) km = 400 km is:

$Time = \frac{distance}{speed}\\\\Time = \frac{400}{100} = 4\ hour$

They meet at 11 am + 4 hour = 3 pm

Thus the time when both the trains meet is 3 pm

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