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Retired Moderator
Joined: 07 Jun 2014
Posts: 4806
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p
[#permalink]
15 Jul 2018, 03:02
15 Jul 2018, 03:02
Expert Reply
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Question Stats:
73% (02:01) correct
26% (02:01) wrong based on 127 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.
_________________
Sandy
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4806
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p
[#permalink]
15 Jul 2018, 03:41
15 Jul 2018, 03:41
3
Expert Reply
1
Bookmarks
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.
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
Re: A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p
[#permalink]
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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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