Problema Solution

Tom washes a car in 8 min.bill washes a car in 6 min.how long will it take them to wash the car together.

Answer provided by our tutors

let


the rate of Tom is 1 car in 8 min that is 1/8 cars/min

the rate of Bill is 1 car in 6 min that is 1/6 cars/min

the rate of Tom and Bill together is 1 car in x min that is 1/x cars/min


if they work together we have the following equation


1/8 + 1/6 = 1/x


by solving the equation we find


x = 24/7


x = 3.43 min


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together they will wash a car in 3.43 minutes.