Two beauticians, Lydia and Jackie, are working on your hair. Lydia can complete the work in 2 hours, while Jackie can complete the work in 1 hour. How many hours do the beauticians take if they work together?

Aone half

B.three halvess

C.two thirds

D.four thirds

Verified Answer :

That is not correct. I just took the test and the answer is 2/3

Answer:

Option C.

Step-by-step explanation:

Two beauticians Lydia and Jackie are working on your hair.

Lydia takes the time to complete the work = 2 hours

Per hour work done by Lydia = 1/2

Jackie complete the  work = 1 hour

In one hour total work done by both Jackie and Lydia together = \(1+\frac{1}{2}=1\frac{1}{2}or \frac{3}{2}\)

therefore, time taken by both to complete the work will be = \(\frac{1}{\frac{3}{2} }\) = \(\frac{2}{3}\)

Option C. two thirds is the correct option.