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15 February, 14:20

Emanuel drove home from college traveling an average speed of 70 mph and drove back to the college the following week at an average speed of 62.7 mph. If the total round trip took 11 hours, how much time did it take Emanuel to drive from home back to college?

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Answers (2)
  1. 15 February, 15:25
    0
    12hours

    Step-by-step explanation:

    S=D/T taken
  2. 15 February, 16:49
    0
    Step-by-step explanation:

    Let t represent the time it took Emanuel to drive home from college. If the total round trip took 11 hours, it means that the time it took

    Emanuel to drive from home back to college would be (11 - t) hours.

    Emanuel drove home from college traveling an average speed of 70 mph.

    Distance = speed * time

    Distance covered by driving from college to home is

    70 * t = 70t

    He drove back to the college the following week at an average speed of 62.7 mph.

    Distance covered by driving back to college from home is

    62.7 (11 - t) = 689.7 - 62.7t

    Since the distance travelled is the same, then

    689.7 - 62.7t = 70t

    70t + 62.7 = 689.7

    132.7t = 689.7

    t = 689.7/132.7

    t = 5.19 hours.

    Therefore, the time that it took Emanuel to drive from home back to college is

    11 - 5.19 = 5.81 hours
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