A goods train travels from a station at a certain time and at uniform speed.…
2024
A goods train travels from a station at a certain time and at uniform speed. After 6 hrs an express train leaves the same station and move in same direction at uniform speed of 90 km/h. The express train catches up the goods train in 4 hrs. Find the speed of the goods train.
- A.
60 Km/h
- B.
64 km/h
- C.
32 Km/h
- D.
36 Km/h
Attempted by 5 students.
Show answer & explanation
Correct answer: D
Answer: 36 km/h
Reason:
Let the speed of the goods train be x km/h.
The goods train leaves earlier and has a 6-hour head start. When the express leaves, the goods train continues, and the express takes 4 hours to catch it. So the goods train has been running for 6 + 4 = 10 hours by the catch-up time.
Distance covered by goods train = distance covered by express when caught, so 10 * x = 4 * 90.
Solve: 10x = 360 ⇒ x = 36 km/h.