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If it would take one machine 10 minutes to fill a large production ord
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24 Nov 2015, 10:49
24 Nov 2015, 10:49
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Question Stats:
87% (01:15) correct
13%
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based on 323
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If it would take one machine 10 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11
PS21161
A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11
PS21161
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Joined: 23 Sep 2015
Posts: 333
Given Kudos: 72
Location: France
Schools: Insead Sept '17 (M$)
GMAT 1: 690 Q47 V38
GMAT 2: 700 Q48 V38
WE:Real Estate (Mutual Funds and Brokerage)
Re: If it would take one machine 10 minutes to fill a large production ord
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24 Nov 2015, 11:16
24 Nov 2015, 11:16
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Bunuel wrote:
If it would take one machine 10 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11
A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11
C
the total rate : 1/10 + 1/12 = 11/60
Work/Rate = 1*60/11 or 5 5/11
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Re: If it would take one machine 10 minutes to fill a large production ord
[#permalink]
24 Nov 2015, 11:26
24 Nov 2015, 11:26
1
Kudos
Bunuel wrote:
If it would take one machine 10 minutes to fill a large production order and another machine 12 minutes to fill the same order, how many minutes would it take both machines working together, at their respective rates, to fill the order?
A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11
A. 4 1/60
B. 5
C. 5 5/11
D. 5 1/2
E. 11
Let the total production order be of 60 units
\(1^{st}\) machine can fill the production order at 6 units per minute
\(2^{nd}\) machine can fill the production order at 5 units per minute
So, \(1^{st}\) and \(2^{nd}\) machine working togather can fill the production order at 11 units per minute
The total production order is of 60 units so the time taken to complete the order is - \(\frac{60}{5}\) = \(5 \frac{5}{11}\) minutes
Hence answer is (C) , \(5 \frac{5}{11}\) minutes
