Question 984952: Jenny and Penny can eat a whole gallon of ice cream together in 2 hours. Penny and Lenny can eat a whole gallon of ice cream together in 5/3 hours. All three together can eat a whole gallon of ice cream together in 1 hour. How many hours would it take Jenny to eat a whole gallon of ice cream all by herself?
Please explain how you got the answer
Answer by josgarithmetic(39616)   (Show Source):
You can put this solution on YOUR website! Jenny, 1/j
Penny, 1/p
Lenny, 1/L
Jenny & Penny, 1/2
Penny & Lenny, 3/5
Jenny & Penny & Lenny, 1/1=1
The rates of any of them together are the sum of their rates, so you can write three equations for a system of equations. Numerator 1 is for 1 gallon of ice cream, and the j, p, and L are the time for each to eat the one gallon.
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