- A passenger train covers the distance between stations X and Y, 50
minutes faster than a goods train. Find this distance if the average speed
of the passenger train is 60 kmph and that of goods train is 20 kmph.
(1) 20 kms (2) 25 kms (3) 45 kms (4) 40 kms
Solution:
Let 'd' be the distance between the stations X and Y.
Time taken by the passenger train to cover the distance 'd' = d/60 hour
Time taken by the goods train to cover the distance 'd' = d/20 hour
Time difference between these two trains is given by 50 minutes or 50/60 hour
i.e., d/20 �d/60 = 50/60
d[ (60-20) / (20*60) ] =50/60
d = 25kms.
