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In the "Mashburn" pharmaceutical company there are two machi [#permalink]
02 Oct 2012, 16:25
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Difficulty:
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Question Stats:
55% (03:48) correct
45% (03:00) wrong based on 243 sessions
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]
03 Oct 2012, 02:27
10
This post received KUDOS
Expert's post
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superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?
a) 13:15 b) 14:15 c) 14:30 d) 15:40 e) 19:15
Thanks!
Say red machine's daily quota is 100 pills and blue machine's is 120 pills (20% greater), so total of 100+120=220 pills. Half of it would be 110 pills.
To fulfill daily quota red machine must produce 100/10=10 pills per hour and blue machine must produce 120/10=12 pills per hour.
Their combined rate, in this case, would be 10+12=22 pills per hour.
From 8:00 till 10:45, or in 11/4 hours, blue machine will produce 11/4*12=33 pills. After that together they must produce 110-33=77 pills. For that they will need 77/22=7/2 hours, or 3 hours and 30 minutes.
Therefore half of the combined daily quota will be manufactured at 10:45 + 3 hours and 30 minutes = 14:15.
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]
10 Jul 2013, 06:24
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?
a) 13:15 b) 14:15 c) 14:30 d) 15:40 e) 19:15
Thanks!
Blue machine(B) will complete its half in 5 hours, at 8:00 + 5 = 13:00 Hrs Red machine(R) will complete its half in 5 hours, at 10:45 + 5 = 15:45 Hrs
If we combine, B will first complete its work at 13:00 Hrs, then B and R will work together for remaining portion of 2:45 Hrs of work for R.
B is 20% efficient than R, so B = 1.2R R alone would complete the work in 2:45 Hrs = 11/4 Hrs R + 1.2R = 2.2R would complete the work in \(\frac{11}{4}*\frac{1}{2.2} = \frac{11}{4}*\frac{10}{22}=\frac{5}{4}=1:15 Hours\)
Time = 13:00 + 1:15 = 14:15 Hours _________________
"Appreciation is a wonderful thing. It makes what is excellent in others belong to us as well." ― Voltaire Press Kudos, if I have helped. Thanks!
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]
26 Sep 2013, 21:44
I appreciate the problem at hand.
Since we need to calculate the 'half', we can consider that
Daily quota of Machine Red is 100 =>Daily quota of Machine Blue is 1.2(100)=120
Each operates for 10 hours a day, then
Rate = Daily quota/Daily operating hours
Rate(Blue)=12 Rate(Red) =10
Blue works till 10:45 alone and does 33 units of work. We have to complete half of (100+120) => 110 Remaining units = 77
Rate(Blue) + Rate (Red) = 22
Remaining Work/Rate = TIme
77/22=3.5 hours
10:45 + 3.5 hours = 14:15
Hope that helps ! _________________
Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________
In the "Mashburn" pharmaceutical company there are two [#permalink]
25 Jul 2014, 02:28
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]
25 Jul 2014, 02:34
Expert's post
goodyear2013 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?
13:15 14:15 14:30 15:40 19:15
Merging similar topics. Please refer to the discussion above. _________________
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]
09 Mar 2015, 05:21
1
This post was BOOKMARKED
Bunuel wrote:
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?
a) 13:15 b) 14:15 c) 14:30 d) 15:40 e) 19:15
Thanks!
Say red machine's daily quota is 100 pills and blue machine's is 120 pills (20% greater), so total of 100+120=220 pills. Half of it would be 110 pills.
To fulfill daily quota red machine must produce 100/10=10 pills per hour and blue machine must produce 120/10=12 pills per hour.
Their combined rate, in this case, would be 10+12=22 pills per hour.
From 8:00 till 10:45, or in 11/4 hours, blue machine will produce 11/4*12=33 pills. After that together they must produce 110-33=77 pills. For that they will need 77/22=7/2 hours, or 3 hours and 30 minutes.
Therefore half of the combined daily quota will be manufactured at 10:45 + 3 hours and 30 minutes = 14:15.
Answer: B.
Hope it's clear.
This approach is better and less time consuming than the approach that makes use of equations.
Great solution by Bunnel...Kudos!!! _________________
Our greatest weakness lies in giving up. The most certain way to succeed is always to try just one more time.
I hated every minute of training, but I said, 'Don't quit. Suffer now and live the rest of your life as a champion.-Mohammad Ali
Re: In the "Mashburn" pharmaceutical company there are two machi [#permalink]
26 Mar 2015, 07:57
Bunuel wrote:
superpus07 wrote:
In the "Mashburn" pharmaceutical company there are two machines - a machine that produces blue pills and a machine that produces red pills. The machines are operated 10 hours a day, and the daily quota of the "blue" machine is 20% greater than that of the red machine. If the "blue" machine was switched on at 8:00 and the "red" machine at 10:45, at what time will half of the combined daily quota be manufactured?
a) 13:15 b) 14:15 c) 14:30 d) 15:40 e) 19:15
Thanks!
Say red machine's daily quota is 100 pills and blue machine's is 120 pills (20% greater), so total of 100+120=220 pills. Half of it would be 110 pills.
To fulfill daily quota red machine must produce 100/10=10 pills per hour and blue machine must produce 120/10=12 pills per hour.
Their combined rate, in this case, would be 10+12=22 pills per hour.
From 8:00 till 10:45, or in 11/4 hours, blue machine will produce 11/4*12=33 pills. After that together they must produce 110-33=77 pills. For that they will need 77/22=7/2 hours, or 3 hours and 30 minutes.
Therefore half of the combined daily quota will be manufactured at 10:45 + 3 hours and 30 minutes = 14:15.
Answer: B.
Hope it's clear.
Thanks for the solution.
gmatclubot
Re: In the "Mashburn" pharmaceutical company there are two machi
[#permalink]
26 Mar 2015, 07:57
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