Easy Math??

Carol started from home on a trip averaging 30 miles per hour how fast must her mother drive to catch up to her in 3 hours if she leaves 30 minutes after Carol? Use an equation to solve your work.

a.35 mph
b.39 mph
c.40 mph

I heard that the answer is a, but I don't know how to set up the equation.

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asked by Ryan
  1. carol drives for 3 hours
    d = r t
    d = 30 * 3 = 90 miles

    mother drove 90 miles in 2.5 hours
    90 = r (2.5)
    t = 36 miles/hour

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    posted by Damon
  2. carol drove for 3.5 hours
    d = 30*3.5 = 105 miles

    mother drove 105 miles in 3 hours
    105 = r(3)
    r == 35
    so yes a

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    posted by Damon
  3. 15 represents her half hour headstart.
    3 hours represents how the mother and child have to meet at the same time.

    15+3(30) = 3x
    15+90 = 3x
    105 = 3x
    35=x

    Check
    15+30(3) = 3(35)
    105=105

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