At what time will the two trains meet?
Consider the following for the next three (03) items that follow: Two trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km.
- A. 5:28 a.m.
- B. 5:44 a.m. ✓
- C. 4:56 a.m.
- D. 6:24 a.m.
Correct Answer: B. 5:44 a.m.
Explanation
Based on the prior calculation, the trains meet \frac{26}{15} hours after Train B departs at 4:00 a.m. We convert \frac{26}{15} hours into hours and minutes: it is 1 hour and \frac{11}{15} of an hour. \frac{11}{15} \times 60 \text{ minutes} = 44 minutes. Adding 1 hour and 44 minutes to 4:00 a.m. yields a meeting time of 5:44 a.m.
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