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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.

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  1. anonymous
    • one year ago
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    @surryyy @mathmath333 @help_people

  2. anonymous
    • one year ago
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    @zepdrix

  3. anonymous
    • one year ago
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    @acxbox22

  4. anonymous
    • one year ago
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    @zepdrix

  5. anonymous
    • one year ago
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    @dan815

  6. anonymous
    • one year ago
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    HElp

  7. anonymous
    • one year ago
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    don't even know where to start!!

  8. kropot72
    • one year ago
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    In 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?

  9. anonymous
    • one year ago
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    Yes, but where from here? @kropot72

  10. kropot72
    • one year ago
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    Well, we have the required equation. Now we are asked to solve it to find the value of t.

  11. anonymous
    • one year ago
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    so add 1/14 and 1/11 ? @kropot72

  12. kropot72
    • one year ago
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    Yes, that is the first step.

  13. anonymous
    • one year ago
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    you get 25/154

  14. anonymous
    • one year ago
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    you can make it into decimal form if needed

  15. anonymous
    • one year ago
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    so 6.16

  16. kropot72
    • one year ago
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    Correct. So you now have \[\large \frac{25}{154}=\frac{1}{t}\]

  17. anonymous
    • one year ago
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    i made 25/154 equal 6.16 and then simplified to t=6.16

  18. kropot72
    • one year ago
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    Yes, the time taken is 6.16 hours.

  19. anonymous
    • one year ago
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    thanks so much!!!

  20. kropot72
    • one year ago
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    You're welcome :)

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