GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
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
4
Bookmarks
00:00
Question Stats:
68% (01:58) correct
31% (02:07) wrong based on 155 sessions
Hide Show timer Statistics
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
[#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.
Re: A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p
[#permalink]
04 May 2025, 20:29
04 May 2025, 20:29
Hello from the GRE Prep Club BumpBot!
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.
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.
