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# Daria Can Wash And Detail 3 Cars In 2 Hours. Larry Can Wash And Detail The Same 3 Cars In 1.5 Hours. About How Long Will It Take To Wash And Detail The 3 Cars Daria And Larry Worked Together?

(3/2) + (3/1.5) = 3/x (units of each rate are cars/hour. The total rate is the sum of the rates of each worker.)

1.5 + 2 = 3/x (simplify)

3.5x = 3 (multiply by x)

x = 3/3.5 = 6/7 ≈ .857 (divide by 3.5, convert to fraction and decimal. This is the number of hours it will take them.)

1.5 + 2 = 3/x (simplify)

3.5x = 3 (multiply by x)

x = 3/3.5 = 6/7 ≈ .857 (divide by 3.5, convert to fraction and decimal. This is the number of hours it will take them.)

**It will take them about 51 3/7 minutes if they work together.**