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?

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