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09 May 2021, 23:00
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
58% (03:16) correct
42%
(03:14)
wrong
based on 188
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 13:15
B. 14:15
C. 14:30
D. 15:40
E. 19:15
15 May 2021, 04:00
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Bunuel
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.
General Discussion
10 May 2021, 03:33
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NOT SURE
combined rate = 1/5
work done is 1/2
=> t= 2.5hrs
10:45 + 2.5 hrs = 1:15
IMO A
combined rate = 1/5
work done is 1/2
=> t= 2.5hrs
10:45 + 2.5 hrs = 1:15
IMO A
