Question

Two trains are travelling towards each other
on parallel lines. Their speeds are x km/hour
and y km/hour respectively. They reached their
destinations after m and n hours respectively
from the time they met each other. Find the
distance between the destinations of the two
trains. (The lengths of the trains may be neglected in comparison by the distance traveled by them)​

Answer 1

Train X's Average speed = 100/5 = 20 mph

Train Y's Average speed = 100/3 mph

Relative speed when trains travel toward each other = 20 + 100/3 = 160/3 mph.

Note that the 2 trains together would have traveled 100 miles at their meeting junction. Also, the time traveled for both trains would be the same at the meeting point.

Thus, Time = 100/(160/3) = 30/16 = 15/8 hours

Of the 100 miles, Distance covered by Train A = 20mph * 15/8 hours = 37.5 miles.

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