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A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p
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15 Jul 2018, 03:02
15 Jul 2018, 03:02
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Question Stats:
73% (02:01) correct
26% (02:02) wrong based on 130 sessions
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A team of 8 chefs produce 3,200 tarts in 5 days. All chefs produce tarts at the same constant rate.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of chefs needed to produce 3,600 tarts in 3 days |
The number of days that 4 chefs need to produce 4,800 tarts |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p
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15 Jul 2018, 03:41
15 Jul 2018, 03:41
3
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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.
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.
Re: A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p
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18 Jul 2023, 08:47
18 Jul 2023, 08:47
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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