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10 January, 21:35

I drove to my parents' house at 60 miles per hour. if i had driven 50 miles an hour instead, then i would have gotten there 40 minutes later. how many miles did i drive?

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  1. 10 January, 21:38
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    Use distance = rate x time

    Let "t" be the time it took for you to drive to your parent's house at 60mph.

    So 60t would be the distance.

    And "t+40" would be the time it took for you to get to your parent's house at 50 mph. And that total distance would be 50 (t+40).

    Since both the distances are the same, this gives us the equation:

    60t = 50 (t+40)

    Simplify: 60t = 50t + 2000

    10t = 2000

    t = 200 minutes

    Driving at 60 mph for 200 minutes equates to a total distance of 200 miles.
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