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Linear Equations in One Variable

SAT Math· difficulty 3/5

Sam can mow a lawn in 66 hours and Pat can mow it in 33 hours. If they share the work equally in time, how long does it take together? Use the rate equation 16+13=1t\frac{1}{6} + \frac{1}{3} = \frac{1}{t}.

  • A

    1.5 hours

  • B

    4.5 hours

  • C

    2 hours

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  • D

    3 hours

Explanation

16+26=36=12\frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2}, so 1t=12\frac{1}{t} = \frac{1}{2} giving t=2t = 2 hours.

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