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Linear Equations in One Variable

SAT Math· difficulty 4/5

Together, three painters can finish a job in 44 hours. Two of them work at the same rate, and the third works at half that rate. How long would it take one of the faster painters working alone?

  • A

    12 hours

  • B

    10 hours

    check_circle
  • C

    8 hours

  • D

    15 hours

Explanation

Let faster rate be rr jobs/hour. Total: r+r+0.5r=2.5r=14r + r + 0.5r = 2.5r = \frac{1}{4}. So r=110r = \frac{1}{10}, meaning 1010 hours.

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