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A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1612 [0], given: 375

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A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p [#permalink] New post 15 Jul 2018, 03:02
Expert's post
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Question Stats:

50% (03:57) correct 50% (00:43) wrong based on 6 sessions
A team of 8 chefs produce 3,200 tarts in 5 days. All chefs produce tarts at the same constant rate.

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.
[Reveal] Spoiler: OA

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p [#permalink] New post 15 Jul 2018, 03:41
Expert's post
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.
_________________

Sandy
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Re: A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p   [#permalink] 15 Jul 2018, 03:41
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A team of 8 chefs produce 3,200 tarts in 5 days. All chefs p

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