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PSAT - Math

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Hello, I am reviewing my psat and looking at the questions I got wrong. I can't understand how to do this problem.

Mike and paul left their houses at the same time for a fitness run to the park. Mike ran at an average speed of 7 miles per hour. Paul ran at an average speed of 5 miles per hour. Mike and Paul arrived at the park at the same time. If Mike ran 4 miles farther than Paul, how far, in miles did Mike run?

  • PSAT - Math - ,

    Mike's time equals Paul's time.

    Let D = Paul's distance in miles

    Mikes time = (D+4miles)/(7mph)

    Paul's time = D/5mph

    (D+4miles)/(7mph) = D/(5mph)
    Ssolve for D, then find D + 4.

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