Let Terry's speed = x km/h
Time taken to complete 15 kms course = 15/x hours
If Terry's speed is hiked by 0.5 km/h i.e., x+0.5 km/h
Time taken to complete 15 kms course = 15/(x+0.5) hours
According to the question
15/(x+0.5) = 15/x - 1
15/(x+0.5) = (15-x)/x
By cross multiplication
(15)*(x) =...
Difference of speed = 25 mph - 15 mph = 10 mph
Length of the train = 1/4 mile
Time taken by the train to pass the boy = 1/4 * 1/10 = 1 / 40 Hours
i.e., 1 / 40 * 60 = 1.5 minutes