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17 Apr 2017, 01:09
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69% (01:59) correct
31%
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Three machines are operating simultaneously and independently at different rates. Machine A produces 1 widget in 4 minutes, Machine B produces 1 widget in 3 minutes, and Machine C produces 1 widget in 5 minutes. If two machines are to be chosen to make 20 widgets in the shortest possible time, approximately how many minutes will it take to produce 20 widgets?
A. 30
B. 34
C. 36
D. 44
E. 70
A. 30
B. 34
C. 36
D. 44
E. 70
17 Apr 2017, 02:38
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Fastest machines are A and B.
x(1/4 + 1/3) = 20
x = (20 * 12)/7 = 34 mins approx.
Answer: B
x(1/4 + 1/3) = 20
x = (20 * 12)/7 = 34 mins approx.
Answer: B
17 Apr 2017, 05:32
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We will choose machine A and B as these two take least time in producing widgets
For producing 10 widgets B will take 30 mins
In those 30 mins we A will produc 30/4= 7.5 widgets
Still need more 2.5 widgets
Lets take take 34 mins now
Machine A will make 34/4 = 8.5 widgets
Machine B will make 34/3 = 11.33 widgets
8.5 + 11.33 = 19.83
Still not 20
So it should be 36 mins
Where both machines together wil make 21 widgets
Ans C
Sent from my iPhone using GMAT Club Forum
For producing 10 widgets B will take 30 mins
In those 30 mins we A will produc 30/4= 7.5 widgets
Still need more 2.5 widgets
Lets take take 34 mins now
Machine A will make 34/4 = 8.5 widgets
Machine B will make 34/3 = 11.33 widgets
8.5 + 11.33 = 19.83
Still not 20
So it should be 36 mins
Where both machines together wil make 21 widgets
Ans C
Sent from my iPhone using GMAT Club Forum
