SOLUTION: Arturo the Antelope and Penelope the Penguin work at A and P in Bedford, NY. Penelope can completely stock the frozen foods section in 15 hours. Working together Arturo and Penelop

Question 942843: Arturo the Antelope and Penelope the Penguin work at A and P in Bedford, NY. Penelope can completely stock the frozen foods section in 15 hours. Working together Arturo and Penelope can finish the task in 9 hours. How long would it take Arturo if he worked alone?
I have tried and tried on this problem but am getting no where.

Found 2 solutions by macston, Merciful:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Penelope stocks Frozen foods section/15 hours= 1/15 section per hour
In 9 hours, she stocks 9/15 of the section, leaving 6/15 for Arturo
If Arturo stocks 6/15 (or 2/5)in 9 hours, he stocks (2/5)/9= 2/45 per hour
To do 45/45 ( or the whole section) at 2/45 per hour would require
=22.5 hours for Arturo to stock alone.

Answer by Merciful(5) (Show Source): You can put this solution on YOUR website!
Let x be the time it would take Arturo to complete working alone.
(1/15)+ (1/x)=(1/9)
(15+ x) / 15x = (1/9)
135 + 9x = 15x
135 = 6x
x = 22h 30min
RELATED QUESTIONS
Penelope has several coins, all nickels and quarters, in her piggy bank. The total amount (answered by checkley77)
Penelope has several coins, all nickels and quarters in her piggy bank. The total amount... (answered by stanbon)
Penelope is playing a number game with her sister June. Penelope is thinking of a number, (answered by ikleyn)
Penelope is out on a Sunday drive in her spaceship. As she approaches Mars, she changes... (answered by richwmiller)
Penelope gets the top score on a math test. 29 out of 30.What is her... (answered by josmiceli,Kuroinu)
Sweet Circles owns 3 magic lollipop machines George, Penelope and Burt. George makes 56%... (answered by lynnlo)
A penguin and a seal are housed in the same cage. The cage was unlocked. At 3 PM, the... (answered by stanbon)
Penelope spends half her income on housing... And budgets the other half for the... (answered by lwsshak3)
Penelope decides to canoe 4 miles upstream against a 3 mph current. If she wants to do... (answered by ankor@dixie-net.com)