SOLUTION: Ted can pick 40 bushels of apples in 13 hours. Katie can pick the same amount in 10 hours. How long would it take them if they worked together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Ted can pick 40 bushels of apples in 13 hours. Katie can pick the same amount in 10 hours. How long would it take them if they worked together?      Log On


   

Question 1050392: Ted can pick 40 bushels of apples in 13 hours. Katie can pick the same amount in 10 hours. How long would it take them if they worked together?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Ted's rate of working:
[ 40 bushels ] / [ 13 hrs ]
Katie's rate:
[ 40 bushels ] / [ 10 hrs ]
------------------------
Add their rates of working
to get their rate working together
Let +t+ = time in hrs if they
work together
You can call 40 bushels 1 job, so
+1%2F13+%2B+1%2F10+=+1%2Ft+
Multiply both sides by +130t+
+10t+%2B+13t+=+130+
+23t+=+130+
+t+=+5.652+ hrs
+.652%2A60+=+39+
It will take them 5 hrs 39 min working
together to pick 40 bushels
-----------------------------
check:
+1%2F13+%2B+1%2F10+=+1%2F5.652+
+.07692+%2B+.1+=+.17693+
+.17692+=+.17693+
close enough

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
A wide variety of similar joint-work problems were solved for you with detailed explanations in the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".