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6 June, 20:22

Destiny and Alicia both leave the coffee shop at the same time, but in opposite directions. If Alicia travels 4 mph faster than Destiny and after 3 hours they are 78 miles apart, how fast is each traveling?

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  1. 6 June, 20:41
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    Answer: Destiny's speed is 11 mph.

    Alicia's speed is 15 mph

    Step-by-step explanation:

    Destiny and Alicia both leave the coffee shop at the same time, but in opposite directions. If they are 78 miles apart after 3 hours, it means that the total distance that they covered in 3hours is 78 miles

    Let x represent the speed at which Destiny travelled. If Alicia travels 4 mph faster than Destiny, it means that the speed at which Alicia travelled is (x + 4) mph

    Distance = speed * time

    Distance covered by Destiny in 3 hours is

    3 * x = 3x

    Distance covered by Alicia in 3 hours is

    3 (x + 4) = 3x + 12

    Since the total distance is 78 miles, then

    3x + 3x + 12 = 78

    6x = 78 - 12 = 66

    x = 66/6 = 11 mph

    Alicia's speed is

    11 + 4 = 15 mph
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