SOLUTION: If A works alone, he would take 4 days
more to complete the job than if both A
and B worked together. If B worked alone,
he would take 16 days more to complete
the job than if
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Question 850108: If A works alone, he would take 4 days
more to complete the job than if both A
and B worked together. If B worked alone,
he would take 16 days more to complete
the job than if A and B work together.
How many days would they take to
complete the work if both of them worked
together?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in days for A and B
to complete the work working together
------------------------
A and B rate working together:
( 1 job ) / t
A's rate working alone:
( 1 job ) / ( t + 4 )
B's rate working alone:
( 1 job ) / ( t + 16 )
-------------------
Add their rates to get their rate
working together
Multiply both sides by
It will take them 8 days to complete the work
if they work together
--------------------
check:
OK
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