Question

Latasha can shampoo the carpet on the main floor of a hotel in 3 hours. Tim can shampoo the same carpet in 6 hours. If they work together, how long will I.T take them to shampoo the carpet?

Answer 1

Let n be the amount of time it takes for them to shampoo the carpet together. Then:
1/3+1/6=1/n
2n+n=6
3n=6
n=2 hours to shampoo the carpet together
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