Concept:When two objects move towards each other, their relative speed is the sum of their speeds. The time to meet after both start moving is found by dividing the remaining distance by this relative speed.
Explanation:First, note the speeds: Car from Town A travels at 70 km/h, and Car from Town B at 80 km/h. The total distance between towns is 600 km.
Car A starts at 7:00 AM. Car B starts at 9:00 AM. So Car A moves alone for 2 hours. In that time, Car A covers
70×2=140 km.
The remaining distance to be covered together is
600−140=460 km.
Now both cars move towards each other. Their relative speed is
70+80=150 km/h.
Time needed to cover the remaining 460 km is
460÷150=3.0667 hours.
Convert 0.0667 hours to minutes:
0.0667×60≈4 minutes. So total time is 3 hours and 4 minutes.
Add this to Car B's start time: 9:00 AM + 3 hours 4 minutes = 12:04 PM.
Answer:The two cars meet at 12:04 PM. Option B is correct.