## In 4 ​hours, an experienced cook prepares enough pies to supply a local​ restaurant’s daily order. Another cook prepares the same number of

Question

In 4 ​hours, an experienced cook prepares enough pies to supply a local​ restaurant’s daily order. Another cook prepares the same number of pies in 7 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.

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4 weeks 2021-12-30T22:36:39+00:00 1 Answer 0 views 0

Step-by-step explanation:

Let third cook take x hours to prepare the same number of  pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies=

One experienced cook takes time to prepare enough pies  =4 hours

In 1 hour , cook prepare pies=

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies=

All three cooks take time to  prepare the same number of pies=2 hours

In 1 hour,all three cooks  prepare  pies=

According to question

hours

Hence, the third cook takes time to prepare the same number of pies alone=