math

posted by vincent

One wheel has a diameter of 30 inches and a second wheel has a diameter of 20 inches. The first wheel traveled a certain distance in 240 revolutions. In how many revolutions did the second wheel travel the same distance?

not just an answer please

A.120
B.160
C.360
D.420
E.480

  1. Reiny

    short way:
    the number of revolutions varies inversely with the diameter of the wheel
    i.e. the larger the wheel the smaller the number of revs.

    R1/R2 = C2/C1
    240/R2 = 20/30
    20R2 = 7200
    R2 = 360

    or

    distance covered by first wheel = 2π(15)(240) = 7200π inches

    circumference of 2nd wheel = 2π(10) = 20π inches
    for the same distance of 7200π inches
    number of revolutions = 7200π/(20π) = 360 revs

  2. Dominique

    c.360

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