Expert: Scott A Wilson - 9/9/2009

Question
1) Josie can eat a big pizza pie alone in twenty two minutes while Christy can eat a pizza of that size alone in 16 minutes. If one big pizza pie is to be shared by Josie and Christy, how long will it take them to consume the entire pizza?

--My equation there was let Christy=a; Josie=b; 1pizza=P
P= (a+b)/2 but then i was thinking if josie can eat half of d pizza in 11 minutes cant christy finish eating her half while josie is eating hers... so instead of of them taking 19min. they should only take 11 min. please help. Thanks :D

Answer
It takes Jose 22 minutes and Christy 16 minutes.

After 1 minutes, Jose would have eatern 1/22 of the pizza and Christy would have eaten 1/16.
1/22 + 1/16 = 19/176.

Knowint that 1 minutes is 19/176 of the pizza, the total time would be 176/19 minutes,
since (176/19)(19/176) = 1 whole pizza.

Now 19*9 = 171, so that would be 9 5/19 minutes.