SOLUTION: Pete can do a piece of work in 6 hours less time than Rick. Together, they can do the work in 9 hours and 12 minutes. How long will each take while working alone?

Question 982238: Pete can do a piece of work in 6 hours less time than Rick. Together, they can do the work in 9 hours and 12 minutes. How long will each take while working alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Rick's time to finish work alone in hours
= Pete's time to finish work aone in hours
-----------------
Rick's rate of working:
[ 1 job finished ] / [ t hrs ]
Pete's rate of working:
[ 1 job finished ] / [ t - 6 ]
-----------------------
Convert 12 min to hrs:
hrs
Add their rates of working to get
their rate working together

Multiply both sides by

Use quadratic formula

and

--------------------
Rick takes 21.877 hrs working aloine
Pete takes 15.877 hrs working alone
--------------------
check:

close enough
Hope I got it!

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