self Maths Puzzle

Big Jim, engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles farther on, the train would have arrived forty minutes sooner".

How long was the run between stations?

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self Other Question

Aesop tells how a father and son failing to ride their donkey in a way to please the public, finally decided to carry the beast.
They had not gone far, however, when they met the village schoolmaster, who explained that as the man was stronger than the boy, and the donkey weighed 220lbs., they should adjust the position of the weight so that the man should carry 125 pounds and the boy but 95.

Where should the weight be hung if the distance from shoulder to shoulder was four feet? Here is a pretty puzzle from Mother Goose's story of Jack and Jill's race for a pail of water.

The distance to the top of the hill was 440 yards, which is just a quarter of a mile.

Jack got to the top first and was 20 yards on the return trip when he met Jill whom he beat home by half a minute.

The record of the race is complicated by the runners being able to run down hill one-half again faster than they ran up, so you are asked to figure out Jack's time for the half mile run.