When a local train travels at a speed of 60kmph, it reaches the destination on…
2023
When a local train travels at a speed of 60kmph, it reaches the destination on time. When the same train travels at speed of 50kmph, it reaches its destination 15mnts late. What is the length of journey?
- A.
75kms
- B.
50kms
- C.
60kms
- D.
85kms
Attempted by 8 students.
Show answer & explanation
Correct answer: A
Solution:
Let t be the scheduled time (in hours) when the train is on time at 60 km/h.
Distance using 60 km/h: 60 × t.
When speed is 50 km/h, the train is 15 minutes = 0.25 hours late, so time is t + 0.25 hours and distance = 50 × (t + 0.25).
Set distances equal and solve: 60t = 50(t + 0.25) → 60t = 50t + 12.5 → 10t = 12.5 → t = 1.25 hours (75 minutes).
Distance = 60 × 1.25 = 75 km.
Answer: 75 km.