SOLUTION: A makes 100 garlands in 25 minutes and B makes them in 18 minutes. They work together for 5 minutes then B leaves. In how many minutes can A complete the remaining work?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A makes 100 garlands in 25 minutes and B makes them in 18 minutes. They work together for 5 minutes then B leaves. In how many minutes can A complete the remaining work?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 872675: A makes 100 garlands in 25 minutes and B makes them in 18 minutes. They work together for 5 minutes then B leaves. In how many minutes can A complete the remaining work?
Answer by Seutip(231) About Me  (Show Source):
You can put this solution on YOUR website!
Let:
1/25 - is the part A makes in a minute
1/18 - is the part B makes in a minute
1%2F25%2B1%2F18=43%2F450
43/450 is the part they can do together in a minute.
Now I'll let "t" stand for how long they take to do the job together. Then they can do 1/t per hour, so 43/450 = 1/t. Flip the equation, and you get that t = 450/3 or 150.
1%2F25%2B1%2F18=1%2Ft
43%2F450=1%2Ft
t=150
They can complete the job together in 150 minutes! :)