Question

A bus traveling at an average rate of 30 miles per hour left the city at 11:45 a.m. A car following the bus at 45 miles per hour left the city at noon. At what time did the car catch up with the bus

Answer 1

12:30 p.m.

Explanation:

The bus got a 1/4-hour head start, so was (1/4 h)(30 mi/h) = 7.5 mi away when the car started. The car's speed was 45-30 = 15 mi/h faster than that of the bus, so closed the distance in ...

(7.5 mi)/(15 mi/h) = 1/2 h

Half an hour after the car started, the time was 12:30 p.m.

The car caught up at 12:30 p.m..