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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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  1. 14 September, 22:10
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    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 ...
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