Virginia can complete her company’s monthly report in 5 hours less time then carl. if they work together, the report will take them 6 hours to finish. how long would it take virginia working alone?

Solution:

we are given that

Virginia can complete her company’s monthly report in 5 hours less time then Carl.

Let Carl complete the work in t hrs.

Then Virginia will complete the same work in (t-5)hrs

Working together they take 6 hrs. So we can write

t=2 doesn't makes sense because,t-5= 2-5=-3 which is not possible.

Hence t=15

Hence Virginia will complete the work alone in t-5=15-5=10 hrs