ExplanationTo 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 AWork = Individual Rate × Number of Workers × Time

3,600 = (80)(Number of Workers)(3)

Number of Workers = 15

Quantity BWork = 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.
_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test