Problema Solution
In
9
hours, an experienced cook prepares enough pies to supply a local restaurant's daily order. Another cook prepares the same number of pies in
5
hours. Together with a third cook, they prepare the pies in
2
hours. Find how long it takes the third cook to prepare the pies alone.
Answer provided by our tutors
let
x = the hour the third cooks needs to prepare the pies alone
1/x pies per hour is the rate of the third cook
1/9 pies per hour is the rate of the first cook
1/5 pies per hour is the rate of the second cook
1/2 pies per hour is the rate of all three cooks together
1/x + 1/9 + 1/5 = 1/2
by solving we find:
x = 90/17
x = 5 5/17 hr
x = 5 hr (5*60)17 min
x = 5 hr 18 min approximately
click here to see the step by step solution of the equation:
the third cook needs 5 hours and 18 minutes to prepare the pies alone.