SOLUTION: Petunia and Petal worked for 5 hours and completed 1(1/24) jobs. if Petal took 12 hours to do 1 job, how long did it take petunia to do 2 jobs?

Question 66498This question is from textbook Advanced mathematics
: Petunia and Petal worked for 5 hours and completed 1(1/24) jobs. if Petal took 12 hours to do 1 job, how long did it take petunia to do 2 jobs? This question is from textbook Advanced mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Petunia and Petal worked for 5 hours and completed 1(1/24) jobs. if Petal took 12 hours to do 1 job, how long did it take petunia to do 2 jobs?
----------------
Working together DATA:
Time = 5 hrs/[(25/24)job]; Rate= 1/5 [(25/24)job/hr]=(5/24)(j/h)
--------------
Petal DATA:
Time=12 hrs/job ; Rate = (1/12) job/hr.
------------------
Petunia DATA:
Time= x hrs/job ; Rate = (1/x)job/hr
-------------------------
EQUATION:
rate + rate = rate together
(1/12)(j/h) + (1/x)(j/h) = (5/24)(j/h)
Multiply thru by 24x to get:
2x+24=5x
3x=24
x=8 hours for Petunia to do one job.
2x=16 hrs for Petunia to do two jobs.
Cheers,
Stan H>
RELATED QUESTIONS
Petunia and Petal worked 5 hours and completed 1 1/24 jobs. If Petal took 12 hours to do... (answered by ankor@dixie-net.com)

The big man could do 1/3 of a job in 4 hours. The little man could do 1/2 of the job in 2 (answered by josmiceli)

It takes 5 hours for John to do some job. he worked for an hour , and then Mike joined .... (answered by venugopalramana)

X can do a certain job in 10 hours and Y can do it in 12 hours. After X and Y have been... (answered by ptaylor,Theo)

blueberry can do a certain job in 10 hours and cheescake can do it in 12 hours. after... (answered by josgarithmetic)

blueberry can do a certain job in 10 hours and cheescake can do it in 12 hours. after... (answered by jorel555)

A man can do a job in 10 hours and his younger son can do it in 12 hours. After the... (answered by josmiceli,greenestamps,josgarithmetic)

Jacob can do 4 jobs in 5 hours. When Kristian helps, together they manage to do 56 jobs... (answered by VFBundy)

1. Kristen could shovel a large parking lot after a 12" snowfall in 5 hours. It would... (answered by 303795)