Answer :
Final answer:
Kendal and Mario's combined rate of waxing a car is (1/60 + 1/80) car per minute. The time it will take for them to wax a car together is the reciprocal of this rate, which equates to around 34.28 minutes.
Explanation:
The problem involves the concept of rates and work done in Mathematics. Kendal waxes a car in 60 minutes, so her rate of work is 1 car per 60 minutes or 1/60 car per minute. On the other hand, Mario waxes a car in 80 minutes, so his rate of work is 1 car per 80 minutes or 1/80 car per minute. When Kendal and Mario work together, their combined rate of waxing a car is sum of their individual rates. So, the combined rate is (1/60 car per minute + 1/80 car per minute). To find out how long it will take them to wax a car together, we take the reciprocal of their combined rate.
First, we find their combined rate:
Combined rate = (1/60 + 1/80) = 1/60 + 1/80 = 7/240 car per minute
Then, we find the time to wax the car together:
Time to wax together = 1 / (Combined rate) = 1/(7/240) = 34.28 minutes, so the answer is none of the options provided.
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