When a local train travels at a speed of 60kmph, it reaches the destination on…
20232024
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?
Answer: A. 75kms — 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…
- A.
75kms
- B.
50kms
- C.
60kms
- D.
85kms
Attempted by 9 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.