Question : Two people A and B are at a distance of 220 km from each other at 10:30 AM. After 30 minutes, A starts moving towards B at a speed of 40 km/hr while at 12 PM, B starts moving away from A at a speed of 30 km/hr. At what time will they meet on the next day?
Option 1: 7:00 AM
Option 2: 4:00 AM
Option 3: 5:30 AM
Option 4: 6:00 AM
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Correct Answer: 6:00 AM
Solution :
Distance between A and B = 220 km
A started at 11:00 AM at a speed of 40 km/hr.
Distance covered by A at 12:00 PM = 40 × 1 = 40 km
Remaining distance = 220 – 40 = 180
Their relative speed = 40 – 30 = 10 km/hr
Time $=\frac{\text{Distance}}{\text{Speed}}= \frac{180}{10}=18$ hours
Thus, they will meet at 12:00 PM + 18 hours = 6:00 AM next day
Hence, the correct answer is 6:00 AM.
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