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

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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