Answer:
10 secs for Jane and Dien is 15 secs
Step-by-step explanation:
Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
It is the sum of each separate rate.
In this problem, the rates are:
Hence:
[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]
[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]
[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]
[tex]x^2 - 7x - 30 = 0[/tex]
[tex](x - 10)(x + 3) = 0[/tex]
The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
More can be learned about the together rate at https://brainly.com/question/25159431
