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?

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Anonymous Profile
Anonymous answered
51
Oddman Profile
Oddman answered
(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.)
It will take them about 51 3/7 minutes if they work together.

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