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25 January, 16:18

Ashanti and Landry are employees at the Soap 'n Suds Car Wash. If Ashanti can wash 3 cars per hour, and Landry can wash 5 cars per hour, how many hours will it take them to wash 56 cars?

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  1. 25 January, 18:06
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    Ashanti and Landry will for 7 hours to wash 56 cars

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - When to people work together to finish a job, we multiply the rate of

    each by the time and add them, then equate the answer by the job

    - Lets do that with Ashanti and Landry

    - If Ashanti can wash 3 cars per hour

    ∴ The rate of Ashanti is 3 car per hour

    - If Landry can wash 5 cars per hour

    ∴ The rate of Landry is 5 car per hour

    - When they work together they will wash 56 cars

    ∵ They work together then they will work same amount of time

    - Let the amount of time they will work is t

    ∵ Ashanti and Landry will work together for t hours to wash 56 cars

    ∴ 3t + 5t = 56

    ∴ 8t = 56

    - Divide both sides by 8

    ∴ t = 7

    ∵ t represents the time they will work together

    * Ashanti and Landry will for 7 hours to wash 56 cars
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