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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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Bunuel
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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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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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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Let the total work done be LCM of 8 and 12= 24.

Since, experienced chef take 8 hours and novice take 12 hours. Ratio of time taken to complete 2:3. Therefore efficiency ratio is 3:2.
Let x be the no of experienced chef and novice chef each.
Now, using formula of work done:
(3x+2x)*1.6 hours= 24
8x= 24
x= 3
Therefore, x+x= 6

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Let the total work done be LCM of 8 and 12= 24.

Since, experienced chef take 8 hours and novice take 12 hours. Ratio of time taken to complete 2:3. Therefore efficiency ratio is 3:2.
Let x be the no of experienced chef and novice chef each.
Now, using formula of work done:
(3x+2x)*1.6 hours= 24
8x= 24
x= 3
Therefore, x+x= 6

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Kinshook
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
Hi,
This approach looks like its will save a lot of time. Can you please elaborate why have you multiplied the 2 here? 2*4.8/1.6 = 6
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Azure07
Kinshook
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
Hi,
This approach looks like its will save a lot of time. Can you please elaborate why have you multiplied the 2 here? 2*4.8/1.6 = 6
Because we want to find total number of chefs (experienced + novice); 4.8/1.6 = 3 => 3 pairs of 1 exp. and 1 novice, in total 3*2 = 6 chefs. Hope it helps.
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Given :An experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours.

Question : 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?

let x be the number of experienced chefs and and equal amount of novice chefs. Total chefs = 2x

1hour 36 minutes equals 1.6 hours

Therefore, x *(1/8+1/12)=1/1.6,

solving for x, x=3, and
we need total no. of chefs ie., 2x=6
Option D
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8 hours = 480 mins
12 hours = 720 mins
1 hr 36 mins = 96 mins

A/480 + A/720 = 1/96
A/30 +A/45 = 1/6
A = 3

Total chefs = 3+3 = 6
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