Explanation


To solve a Rates & Work problem with multiple workers, modify the standard formula Work = Rate × Time to this:

Work = Individual Rate × Number of Workers × Time

Solve for an individual chef’s rate, using the fact that 8 chefs produce 3,200 tarts in 5 days:

Work = Individual Rate × Number of Workers × Time
3,200 tarts = (R)(8)(5 days)
R = 80 tarts per day

That is, each chef can produce 80 tarts per day. Plug that rate back into the formula for each of the quantities:

Quantity A

Work = Individual Rate × Number of Workers × Time
3,600 = (80)(Number of Workers)(3)
Number of Workers = 15

Quantity B

Work = Individual Rate × Number of Workers × Time
4,800 = (80)(4)(Time)
Time = 15 days

The number of chefs in Quantity A is equal to the number of days in Quantity B.
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