Problema Solution

it takes cody 15 minutes to wash a car. it takes ray 10 minutes to wash the same car. if they worked together, how long would it take them?

Answer provided by our tutors

let


x = the number of minuted Cody and Ray need to wash the car together


in 1 minute they will was: 1/x of the car thus their rate is 1/x car per min


it takes cody 15 minutes to wash a car thus his rate is: 1/15 car per min


it takes ray 10 minutes to wash the same car this his rate is: 1/10 car per min


now we have:


1/15 + 1/10 = 1/x


by solving we find:


x = 6 min


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it will take them 6 minutes to wash the car together.