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On a wedding catering service, An experienced chef can prepare a servi

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Bunuel
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On a wedding catering service, An experienced chef can prepare a servi [#permalink] New post   13 May 2021, 09:00
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On a wedding catering service, An experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours.

If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8
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D
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unraveled
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On a wedding catering service, An experienced chef can prepare a servi [#permalink] New post   Updated on: 13 May 2021, 20:34
Bunuel wrote:
On a wedding catering service, An experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours.

If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8

Number of novice = number of experienced chef = x
\(\frac{x}{8} + \frac{x}{12} = \frac{1}{(8/5)}\)
\(\frac{x}{2} + \frac{x}{3} = \frac{5}{2}\)
\(\frac{5x}{6} = \frac{5}{2}\)
2x = 2*3 = 6

Answer D.

Originally posted by unraveled on 13 May 2021, 09:44.
Last edited by unraveled on 13 May 2021, 20:34, edited 1 time in total.
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JoyeetaChak
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Re: On a wedding catering service, An experienced chef can prepare a servi [#permalink] New post   13 May 2021, 09:48
unraveled wrote:
Bunuel wrote:
On a wedding catering service, An experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours.

If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8

Number of novice = number of experienced chef = x
\(\frac{x}{8} + \frac{x}{12} = \frac{1}{(8/5)}\)
\(\frac{x}{2} + \frac{x}{3} = \frac{5}{2}\)
\(\frac{5x}{6} = \frac{5}{2}\)
x = 3

Answer B.


It should be x+x = 6 because we are asked how many total chefs. novice + exp = 3 + 3 = 6
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Re: On a wedding catering service, An experienced chef can prepare a servi [#permalink] New post   13 May 2021, 20:23
Given: On a wedding catering service, An experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours.

Asked: If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?

Number of hours required by 1 experienced chef and 1 novice chef to finish preparations = 12*8/(12+8) = 12*8/20 = 4.8 hours
Number of chefs required to prepare a wedding service in 1 hour and 36 minutes = 2*4.8/1.6 = 6

IMO D
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Re: On a wedding catering service, An experienced chef can prepare a servi [#permalink] New post   13 May 2021, 21:17
JoyeetaChak wrote:
unraveled wrote:
Bunuel wrote:
On a wedding catering service, An experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours.

If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8

Number of novice = number of experienced chef = x
\(\frac{x}{8} + \frac{x}{12} = \frac{1}{(8/5)}\)
\(\frac{x}{2} + \frac{x}{3} = \frac{5}{2}\)
\(\frac{5x}{6} = \frac{5}{2}\)
x = 3

Answer B.


It should be x+x = 6 because we are asked how many total chefs. novice + exp = 3 + 3 = 6

Yeah...!!
I made the age old GMAT mistake. :roll:
Thanks for point out.
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Re: On a wedding catering service, An experienced chef can prepare a servi [#permalink] New post   04 Jun 2021, 08:29
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Experienced Chef's efficiency = 1/8 per hr
Novice Chef's efficiency = 1/12 per hr

Together: 1 Experienced + 1 Novice = 1/8+1/12 = 5/24 per hr

No. of Chefs * Rate * Time = Work

2 * Rate * 1 = 5/24 => Rate = 5/48

No. of Chefs * Rate * Time = Work

Let the No. of Chefs = x
Time = 1 H 36 min = 8/5 hrs

x * 5/48 * 8/5 = 1

x = 6 (D)
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Re: On a wedding catering service, An experienced chef can prepare a servi [#permalink] New post   28 Oct 2022, 09:16
first is to get the unit production per hour of E chef and N chef: 1/8 and 1/12
let the same number of E and N is x
the unit production will be x(1/8+1/12) = 5/24 *x
total use 1+36/60 hours to complete is aobut 8/5
5/24 *x (unit production per hour ) * 8/5 ( hours) = 1
so x=3
result is using 3 E_chef and N_chef to complete it in 1+36/60 hours.
answer is 3+3=6
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Re: On a wedding catering service, An experienced chef can prepare a servi [#permalink]
28 Oct 2022, 09:16
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