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In the "Mashburn" pharmaceutical company there are two machines - a ma

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Bunuel
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In the "Mashburn" pharmaceutical company there are two machines - a ma [#permalink] New post   09 May 2021, 23:00
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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
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Bunuel
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Re: In the "Mashburn" pharmaceutical company there are two machines - a ma [#permalink] New post   15 May 2021, 04:00
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Bunuel 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


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.
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divyanshds
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Re: In the "Mashburn" pharmaceutical company there are two machines - a ma [#permalink] New post   10 May 2021, 03:33
NOT SURE
combined rate = 1/5
work done is 1/2
=> t= 2.5hrs
10:45 + 2.5 hrs = 1:15
IMO A
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Re: In the "Mashburn" pharmaceutical company there are two machines - a ma [#permalink] New post   10 May 2021, 04:04
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Let the red quota be 100 and the blue quota be 120. Half the daily quota for both is 110.
This means that every hour red makes 10 pills and blue makes 12.

Blue starts at 8:00 and works for 2.75 hours until 10:45.
2.75*12 = 33

Pills left to be produced: 110-33 = 77

Working together blue and red make 22 pills an hour.

77/22 = 3 11/22 or 3.5 hours

10:45 + 3.5 hours = 14:15

Answer B
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sumitsachdeva92
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Re: In the "Mashburn" pharmaceutical company there are two machines - a ma [#permalink] New post   11 May 2021, 21:12
let red balls be 10x, then blue balls=12x
the blue machine started at 8 and worked for 2.75hour producing 1.2x*11/4hrs = 3.3x balls
so now we have to produce 1/2(total balls produced)=1/2*22x=11x

we have already prodcued 3.3x till 10:45, now we need to produce 11x-3.3x=7.7x
after 10.45,both machines worked simultaneously to produce 1x+1.2x=2.2x per hour
so 7.7/2.2=3.5hours

hence 10:45+3.5=2:15
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Re: In the "Mashburn" pharmaceutical company there are two machines - a ma [#permalink] New post   24 Nov 2022, 09:56
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Re: In the "Mashburn" pharmaceutical company there are two machines - a ma [#permalink]
24 Nov 2022, 09:56
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