Question

Paige can sort her toys in 6 fewer hours that Madison can. When they work together, it
takes them only 4 hours to sort the toys. How long would it take for each of them to sort
the toys alone?

Answers

  1. Let X be the number of hours it takes Paige to sort the toys alone.
    It takes Madison X + 6 hours to sort the toys alone.
    Together, it takes them X + (X + 6) = 4 hours to sort the toys.
    Combining like terms, we get 2X = 4
    Dividing both sides by 2, we get X = 2
    Therefore, it takes Paige 2 hours to sort the toys alone.
    It takes Madison 2 + 6 = 8 hours to sort the toys alone.

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