SOLUTION: Melissa can do 2 jobs in 3 hours; when Krista helps, together they manage to do 8 jobs in 3 hours. How long would it take Krista to do 1 job?
I have not done a problem like t
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Question 1067976: Melissa can do 2 jobs in 3 hours; when Krista helps, together they manage to do 8 jobs in 3 hours. How long would it take Krista to do 1 job?
I have not done a problem like this in a while, and I cannot locate past notes on how to solve it. Any sort of assistance would be awesome, thank you!
Found 3 solutions by josmiceli, rothauserc, ikleyn:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their individual rates of working to
get their rate working together
Let = Krista's time in hrs to do 1 job
----------------------------------------
Melissa's rate of working:
[ 2 jobs ] / [ 3 hrs ] = jobs/hr
Krista's rate of working:
[ 1 job ] / [ t hrs ]
Their rate working together:
[ 8 jobs / 3 hrs ]
---------------------------
Add their rates of working:
Multiply both sides by
---------------
Krista takes 1/2 hr to do 1 job
-------------------------------
check answer:
OK
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
(2/3) + x = (8/3)
:
x = (8/3) - (2/3) = 2
:
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krista does 2 jobs in 1 hour
****************************
:
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
There is a wide variety of similar solved joint-work problems with detailed explanations in this site. See 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
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".
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