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8 September, 18:35

b. David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140 miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.

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  1. 8 September, 21:37
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    Step-by-step explanation:

    Let x represent the speed of at which David travelled.

    Andrew travels 15 miles per hour faster than David. It means that the speed of Andrew would be x + 15 mph

    David travels 110 miles in the same time that Andrew travels 140 miles. The formula for time is expressed as

    Time = distance/speed

    Time taken for David to travel 110 miles is

    110/x

    Time taken for Andrew to travel 140 miles is

    140 / (x + 15)

    Since the time is the same, it means that

    110/x = 140 / (x + 15)

    Cross multiplying, it becomes

    140x = 110 (x + 15)

    140x = 110x + 1650

    140x - 110x = 1650

    30x = 1650

    x = 1650/30

    x = 55

    David's average rate = 55mph

    Andrew's average rate = 55 + 15 = 70 mph
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