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02 Aug 2022, 06:47
Kudos
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B
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Difficulty:
55%
(hard)
Question Stats:
66% (02:37) correct
34%
(02:38)
wrong
based on 124
sessions
History
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Not Attempted Yet
A factory has two types of machine, Type A and B, and each type of machine works at a different constant rate. If one machine of Type A and two machines of Type B could complete a certain production order in 6 hours working together, and two machines of Type A and one machine of Type B could complete the same production order in 4 hours working together, how many hours would it take three machines of Type A working together to complete the production order?
A)\(\frac{ 8}{3}\)
B) 3
C) 4
D) 6
E) 12
A)\(\frac{ 8}{3}\)
B) 3
C) 4
D) 6
E) 12
02 Aug 2022, 08:03
Kudos
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sjuniv32
When one A works for 6 hours and two Bs work for 6 hours, that's 6A+12B.
When two As work for 4 hours and one B works for 6 hours, that's 8A+4B.
Each of those scenarios completes the job in the same time, so 6A+12B = 8A+4B ... --> ... A=4B
Let's make A=4. B=1.
The job is 6A+12B, so 24+12=36.
Three A's do 12 per hour, so can do 36 in 3 hours.
Answer choice B.
General Discussion
19 Jun 2024, 15:21
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