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

Question

Jamison Lyons

Mathematics

14 September, 21:59

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

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Answers (1)

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Landen Duncan · Answer 1

12:30 p. m.

Step-by-step 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 ...