A train running between two towns arrives at its destination 10 minutes late when it goes at 60 km per hour and 16 minutes late when it goes at 40 km per hour. Determine the speed at which the train…
Question and options
A train running between two towns arrives at its destination 10 minutes late when it goes at 60 km per hour and 16 minutes late when it goes at 40 km per hour. Determine the speed at which the train reaches on time.
- 100 km/h
- 360 km/h
- 90 km/h
- 240 km/h
Answer and explanation
Correct answer: B - 360 km/h
d/40 - d/60 = (16 - 10)/60 h, so d/120 = 1/10 and d = 12 km. At 60 km/h the trip takes 12 min, which is 10 min late, so the scheduled time is 2 min. Speed = 12 km / (2/60 h) = 360 km/h.
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