SOLUTION: Joan can weed the garden in 40 min and her mother can weed it in 60 min. How long would it take them working together???????

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Joan can weed the garden in 40 min and her mother can weed it in 60 min. How long would it take them working together???????      Log On


   



Question 487205: Joan can weed the garden in 40 min and her mother can weed it in 60 min. How long would it take them working together???????
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
Joan's rate is ( 1 garden weeded) / ( 40 min )
Mother's rate is ( 1 garden weeded ) / ( 60 min )
Let their rate working together = ( 1 garden weeded ) / ( x min )
+1%2F40+%2B+1%2F60+=+1%2Fx+
Multiply both sides by +120x+
+3x+%2B+2x+=+120+
+5x+=+120+
+x+=+24+
It will take them 24 min working together