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The distance between two countries P and Q which are joined by land route is 5000 km. A train starts from country P at 6:00 am and travels towards country Q at the speed of 250 km/hr. Another train starts from country Q at 10:00 am and travels towards country P at the speed of 150 km/hr. At what time they will meet each other? 

The distance between two countries P and Q which are joined by land route is 5000 km. A train starts from country P at 6:00 am and travels towards country Q at the speed of 250 km/hr. Another train starts from country Q at 10:00 am and travels towards country P at the speed of 150 km/hr. At what time they will meet each other?  Correct Answer 8:00 pm

Given:

Distance between two countries P and Q = 5000 km

A train starts from country P at 6:00 am at the speed = 250 km/hr

Second train B starts from country Q at 10:00 am at the speed = 150 km

Formula:

If the speed of the two trains be x km/hr and y km/hr respectively if x > y.

Relative speed, if opposite directions = (x + y) km/hr

Speed = Distance/Time

Calculation:

Distance cover by train A in 4 hrs (10 - 6 =  4 hours) = 250 × 4 = 1000 km

Remaining distance between two countries P and Q which is to be covered by both trains = 5000 - 1000 = 4000 km

Relative speed of both train if they running opposite direction = 250 + 150 = 400 km / hr

Time taken after 10 am to meet = 4000/400 = 10 hrs

∴ Required time = 10:00 am + 10 hrs = 8:00 pm 

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