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Sep 13, 2023 8:30 am
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B
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Difficulty:
35%
(medium)
Question Stats:
75% (02:18) correct
25%
(02:32)
wrong
based on 132
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In an 8-hour production cycle, a factory completes 8 drilling machines. If the factory is redesigned so that each production cycle lasts two-thirds as long but produces 25% fewer drilling machines, how long will it take the factory to produce 24 drilling machines?
A. 16 hours
B. 21 hours and 20 minutes
C. 24 hours
D. 32 hours
E. 42 hours and 40 minutes
A. 16 hours
B. 21 hours and 20 minutes
C. 24 hours
D. 32 hours
E. 42 hours and 40 minutes
Sep 13, 2023 7:54 pm
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In an 8-hour production cycle, a factory completes 8 drilling machines. If the factory is redesigned so that each production cycle lasts two-thirds as long but produces 25% fewer drilling machines, how long will it take the factory to produce 24 drilling machines?
Answer is - B. 21 hours and 20 minutes
W = Rate * Time
8 = 1 * 8
new systems
W = Rate * Time
6 = X * (16/3)
Once you find x - just use the new rate and divide by the total number of of products (i.e 24) to get the answer.
Answer is - B. 21 hours and 20 minutes
W = Rate * Time
8 = 1 * 8
new systems
W = Rate * Time
6 = X * (16/3)
Once you find x - just use the new rate and divide by the total number of of products (i.e 24) to get the answer.
Sep 15, 2023 12:09 pm
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Bunuel
Old setting:
Rate = Work/Time = 8/8 = 1 machines per hour
New setting:
The new length of each production cycle is (2/3)8 = 16/3 hours.
Since “25% fewer” corresponds to a factor of 0.75, the new production of each production cycle is (0.75)8 = 6 machines.
Rate = Work/Time = 6/(16/3) = 9/8 machines per hour
To produce 24 machines, the factory needs:
Time = Work/Rate = 24/(9/8) = 64/3 hours =
21 hours and 20 minutes
Answer: B
