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20 March, 11:35

At 9:00 a. m. a train left the station on a round trip that covered 54 miles. It returned after a 30-minute layover. The train averaged 18 miles per hour on the outgoing trip. It averaged 50% faster on the return trip. What time did it return to the station

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  1. 20 March, 12:31
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    12pm

    Step-by-step explanation:

    54 miles in total. I thought of a straight line & the train is travelling to the end & back & that total miles is 54.

    so we divide 54 by 2 to find out how miles is it to go & to come back

    54:2 = 27

    27 miles to go & 27 miles to come back.

    we know on the outgoing trip the train travelled 18 mph.

    theres 27 miles

    27:18=1.5

    it took 1.5 hours to travel 27 miles or one hour 30 mins.

    on the return trip the train travelled 50 % faster.

    50 percent of 18mph = 9

    9+18=27 mph

    the return train is travelling 27mph & we know it has to travel only 27 miles

    27:27 = 1

    the return train would have taken an hour.

    but they said there was a 30 minute delay so we have to factor all this in.

    out going train 1 hour 30 mins, Return train 1 hour, Delay 30 mins

    1 hour + 1 hour + 30mins + 30 mins = 3 hours.

    The train left 9 am & returned after 3 hours which is 12pm
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