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) (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. = 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 times more distance, and
2) to cover the same distance it takes the slower train times longer time.
The distance the slower train had covered when they passed,
was later covered by the faster train in hour.
It must have taken the slower train hours to cover that distance.
Up to that point the faster train had covered times as much distance
so the slower train has times farther to go than it already covered.
It will take it times as long, or {{f*f=f^2}}} hours.
Since we are told it takes it hours, ---> .