Two car washers, lydia and jackie, are working on your car. lydia can complete the work in 2 hours, while jackie can complete the work in 1 hour. how many hours do the car washers take if they work together?

Car washers take 2/3 hours to complete work if they work together.

Step-by-step explanation:

Given :

Two car washers, Lydia and Jackie, are working on your car.

Lydia can complete the work in 2 hours, while Jackie can complete the work in 1 hour.

To Find : . How many hours do the car washers take if they work together?

Solution :

Let they take x time to complete the job if they work together

Since we are given that Lydia completes the job in 2 hours.

Lydia completes in 1 hour = 1/2 of the job.

Also, Jackie completes the job in 1 hour.

Jackie does in 1 hour = 1/1 = 1 full job

Now, they take x hours together to complete work

They do work in  1 hour together = 1/x

⇒Lydia completes in 1 hour + Jackie does in 1 hour = They do work in 1 hour together

⇒1/2 + 1/1 = 1/x

⇒3/2 = 1/x

⇒x = 2/3

Hence car washers take 2/3 hours to complete work if they work together.