Dennis can eat a pie in 6 minutes.
Diana can eat a pie in 12 minutes.
David can eat a pie in 14.639145073927682623334797247841 minutes.

If they share the same pie, how long will it take the three of them to scarf down the whole thing?
Show your work.



Solution to the Problem:


It would take them 3.14159 minutes (or pi minutes).

Dennis eats pies at the rate of 10 pies per hour.
Diana eats pies at the rate of 5 pies per hour.
David eats about 4.0986 pies per hour.

Let x = time in hours that it takes all three of them to eat the pie together.
So, 10x + 5x + 4.0986x = 1
19.0986x = 1
x = .052359858838 hours
To convert to minutes, multiply by 60: 60x = 3.14159153027 minutes.


Correctly solved by:

1. Colin (Yowie) Bowey Beechworth, Victoria, Australia
2. K. Sengupta Calcutta, India
3. Davit Banana Istanbul, Turkey
4. Dr. Hari Kishan D.N. College,
Meerut, Uttar Pradesh, India
5. Alan Rench Armstrong Creek, Wisconsin
6. Mrs. Painter's Honors Precalculus Class Broome High School,
Spartanburg, South Carolina
7. Ivy Joseph Pune, Maharashtra, India