Problema Solution

Myra can weed the garden in 3 hours, Ana can do it in 4 hours. how long will it take them to weed the garden if they will work together?

Answer provided by our tutors

Let


x = the time Myra and Ana need to weed the garden together (in hours)


in 1 hour Myra will weed 1/3 of the garden alone


in 1 hour Ana will weed 1/4 of the garden alone


in 1 hour Ana and Myra will weed 1/x of the garden together


thus


1/3 + 1/4 = 1/x


by solving this equations we find


x = 12/7 hours = 1 5/7 hours = 1.7 hours approximately


Myra and Ana need 1.7 hours to weed the garden together.