A bus starts from City A at 1:00 PM, and travels towards City B at a speed of 50 km/h. A car starts from City B at 2:30 PM and travels towards City A at a speed of 80 km/h. If the distance between City A and City B is 450 km, at what time will they cross each other?
Show answer & explanation
Correct answer: B
Explanation
The bus travels for 1.5 hours, from 1:00 PM to 2:30 PM.
Distance covered during this time = 50 × 1.5 = 75 km
Remaining distance between them = 450 − 75 = 375 km
Relative speed of the two = 50 + 80 = 130 km/h
Time taken to meet = 375/130 = 75/26 hours ≈ 2 hours 53 minutes
Therefore, the meeting time = 2:30 PM + 2 hours 53 minutes = 5:23 PM