SOLUTION: Maria and Moira pick gooseberries. Maria pick all the gooseberries in 3 days and Moira in 5 days with 10 hours of picking going on each day. How much time do they need if Maria he

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Maria and Moira pick gooseberries. Maria pick all the gooseberries in 3 days and Moira in 5 days with 10 hours of picking going on each day. How much time do they need if Maria he      Log On


   



Question 833831: Maria and Moira pick gooseberries. Maria pick all the gooseberries in 3 days and Moira in 5 days with 10 hours of picking going on each day.
How much time do they need if Maria helps Moira for 4 hours each day?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
3*10=30 hours
5*10=50 hours
x/3+x/5=1 They would do the job in 18/7 (x = 1.875) days together.
x/30+x/50=1 They would do the job in 75/4 (x = 18.75) hours together.
but Maria is only working 4 hours a day or 4/10 of the time
(4/10)x/30+x/50=1
x=30 it will take them 30 hours together if Maria works 4 hours a day