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A person can drive from city A to city B at a certain rate of speed in 6 hours. If she decreases her speed by 10 mph, she can make the trip in 8 hours. How far is it from city A to city B?

  • mathematics -

    first speed --- x mph
    slower speed --- x-10 mph

    case1 : distance = 6x miles
    case2: distance = 8(x-10) miles

    8(x-10) = 6x
    2x = 80
    x = 40

    distance = 6x = 6(40) = 240 miles

    8(40-10) is also 240

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