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Points P and Q are 400 km apart. A person starts from P towards Q at 6 a.m. at a speed of 20 km/h. Another person starts from
Q towards Pat 6:30 a.m. at a speed of 30 km/h. At what time will they meet?
1:48 p.m
2:18 p.m
1:38 p.m
2:28 p.m
- Two persons start moving towards each other from points P and Q.
- The distance between P and Q is 400 km.
- The first person leaves point P at 6 a.m., traveling at 20 km/h.
- The second person leaves point Q at 6:30 a.m., traveling at 30 km/h.
- Calculate the time they meet:
- By 6:30 a.m., the first person has already traveled 10 km (20 km/h * 0.5 hours).
- The remaining distance is 390 km (400 km - 10 km).
- Their combined speed is 50 km/h (20 km/h + 30 km/h).
- Time to meet is 390 km ÷ 50 km/h = 7.8 hours.
- 7.8 hours after 6:30 a.m. is 2:18 p.m.
- Correct Answer: Option 2, 2:18 p.m.
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