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anonymous
 one year ago
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
anonymous
 one year ago
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together. Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@surryyy @mathmath333 @help_people

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0don't even know where to start!!

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1In 1 hour Matthew, working alone, will wash 1/14 of the cars. In 1 hour Arianna, working alone, will wash 1/11 of the cars. Let the time taken to wash all of the cars working together be t hours. Then we can write: \[\large \frac{1}{14}+\frac{1}{11}=\frac{1}{t}\] @lizzieeej Can you follow this reasoning?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, but where from here? @kropot72

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Well, we have the required equation. Now we are asked to solve it to find the value of t.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so add 1/14 and 1/11 ? @kropot72

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Yes, that is the first step.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can make it into decimal form if needed

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Correct. So you now have \[\large \frac{25}{154}=\frac{1}{t}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i made 25/154 equal 6.16 and then simplified to t=6.16

kropot72
 one year ago
Best ResponseYou've already chosen the best response.1Yes, the time taken is 6.16 hours.
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