2 hours after a goods train leaves , a passenger train leaves the same station…
2024
2 hours after a goods train leaves , a passenger train leaves the same station travelling in the same direction at an average speed of 48 miles/hour . After travelling 4 hrs the passenger train overtakes the goods train . The average speed in ( miles / hours) of the goods train was ?
- A.
45
- B.
32
- C.
42
- D.
36
Attempted by 28 students.
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Correct answer: B
Answer: 32 mph
Let x be the speed of the goods train (in miles per hour).
The goods train leaves 2 hours earlier, so when the passenger train has traveled for 4 hours the goods train has been traveling for 6 hours.
Distance traveled by goods train = speed × time = x × 6 = 6x.
Distance traveled by passenger train = 48 × 4 = 192.
Set distances equal when the passenger overtakes: 6x = 192 ⇒ x = 192 ÷ 6 = 32.
Therefore, the average speed of the goods train is 32 miles per hour.