Question

A passenger train leaves new delhi at 5pm flollowed by a goods train which leaves the staion at 7 pm. the goods train travels 20 km per hour faster than the passenger train. the goods train reaches 2hours 36 minutes before the passenger train at staion 1040 km away from. find the speed of both the trains.

Answer 1

let x be the speed of the first train .
hence speed of goods train will be x+20 
Time taken by the first train = 1040 /x
Time taken by the second train =  1040/x+20
 (1040/x)+4+3/5 = 1040/(x+20)
1040/x + 23/5 = 1040/x+20
solve for x.