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