SOLUTION: Two trains start at the same instant, one from Kolkata to Modhupur and other from Modhupur to Kolkata. If they arrive Modhupur and Kolkata respectively 1 hour and 4 hours after the

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Question 1079488: Two trains start at the same instant, one from Kolkata to Modhupur and other from Modhupur to Kolkata. If they arrive Modhupur and Kolkata respectively 1 hour and 4 hours after they pass each other, what is the ratio of the speed of the two trains?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I do not know the distance from Modhupur to Kolkata, but I do not need it to solve the problem.
f= the ratio of the speed of the faster train to the speed of the slower train.
So,
1) in the same length of time, the faster train travels f times more distance, and
2) to cover the same distance it takes the slower train f times longer time.

The distance the slower train had covered when they passed,
was later covered by the faster train in 1 hour.
It must have taken the slower train f hours to cover that distance.
Up to that point the faster train had covered f times as much distance
so the slower train has f times farther to go than it already covered.
It will take it f times as long, or {{f*f=f^2}}} hours.
Since we are told it takes it 4 hours,
f%5E2=4 ---> highlight%28f=2%29 .