SOLUTION: It takes 3 hours for John to mow the lawn. Linda can mow the same lawn for 5 hours. How long will it take Linda and John, work together, to mow the lawn?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes 3 hours for John to mow the lawn. Linda can mow the same lawn for 5 hours. How long will it take Linda and John, work together, to mow the lawn?       Log On


   

Question 752338: It takes 3 hours for John to mow the lawn. Linda can mow the same lawn for 5 hours. How long will it take Linda and John, work together, to mow the lawn?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of mowing
( 1 lawn / 3 hrs ) + ( 1 lawn / 5 hrs ) = ( 1 lawn / t hrs )
+1%2F3+%2B+1%2F5+=+1%2Ft+
Multiply both sides by +15t+
+5t+%2B+3t+=+15+
+8t+=+15+
+t+=+1.875+
It will take them 1.875 hrs