Question

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.

Answer 1

Answer: 1.3 hours

Explanation: you want to divide Matthews time by Ariannas time since they are working together to wash the whole car lot. When you divide 14 by 11, you get 1.272727 which is a repeated decimal, when you round up the repeated decimal you will get 1.3
Hope this helps!

Answer 2

Answer:

• ≈ 6 hours 10 minutes

Step-by-step explanation:

• Matthew can wash all the cars in 14 hours ⇒ 1/14 of all cars in 1 hour
• Arianna can wash all the cars in 11 hours ⇒ 1/11 of all cars in 1 hour

Together they can wash in 1 hour:

• 1/14 + 1/11 = 25/154

Time needed to wash all the cars:

• 154/25 = 6.16 hours ≈ 6 hours 10 minutes