Two trains start at the same time from two stations and proceed towards each other at speeds 88km/h and 75km/h, respectively. When they meet, it is found that one train has travelled 65km more than the other. What is the distance (in km) between the two stations?
- A960
- B975
- C875
- D815
Solution & Step-by-step Explanation
Let the time taken by both trains to meet be t hours.
Distance travelled by the first train: D
1
=88t
Distance travelled by the second train: D
2
=75t
Given that one train travelled 65km more than the other:
D
1
−D
2
=65
88t−75t=65
13t=65⟹t=5 hours
The total distance between the two stations is the sum of distances covered by both trains:
Total Distance=D
1
+D
2
=88t+75t=163t
Total Distance=163×5=815km
Distance travelled by the first train: D
1
=88t
Distance travelled by the second train: D
2
=75t
Given that one train travelled 65km more than the other:
D
1
−D
2
=65
88t−75t=65
13t=65⟹t=5 hours
The total distance between the two stations is the sum of distances covered by both trains:
Total Distance=D
1
+D
2
=88t+75t=163t
Total Distance=163×5=815km