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Working alone at its constant rate, machine K took 3 hours to produce

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Re: Working alone at its constant rate, machine K took 3 hours to produce  [#permalink]

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New post 07 Jul 2020, 10:01
sset009 wrote:
Working alone at its constant rate, machine K took 3 hours to produce 1/4 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?

A. 8
B. 12
C. 16
D. 24
E. 30


K works 9 hours in total and produces 3/4 of the units (1/4 * 3) as mentioned before.
So machine M produces 1/4 in 6 hours.

Since the question asks for the time M needs to produce the units of last Friday (1/4 as stated in the task) it should have take M 6 hours to produce this amount of units. Thus; the previous answers really confuse me since they do not answer the actual question and my solution is not stated in the options
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Re: Working alone at its constant rate, machine K took 3 hours to produce  [#permalink]

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New post 07 Jul 2020, 15:36
1
JanStracke wrote:
sset009 wrote:
Working alone at its constant rate, machine K took 3 hours to produce 1/4 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?

A. 8
B. 12
C. 16
D. 24
E. 30


K works 9 hours in total and produces 3/4 of the units (1/4 * 3) as mentioned before.
So machine M produces 1/4 in 6 hours.

Since the question asks for the time M needs to produce the units of last Friday (1/4 as stated in the task) it should have take M 6 hours to produce this amount of units. Thus; the previous answers really confuse me since they do not answer the actual question and my solution is not stated in the options


Hi JanStracke,

The question asks how long it would have taken Machine M to produce ALL of the units from last Friday (not only the ones that Machine M produced, but also the ones that Machine K produced). Since Machine M can produce 1/4 of the units in 6 hours, then it would take 4(6) = 24 hours to produce ALL of the units.

As it stands, you should have been a bit 'suspicious' of your original answer since it did not require ANY work to come up with. The prompt tells us that Machine M worked for 6 hours on Friday, so it's unlikely that after reading through the prompt - and doing all of the necessary math - that the answer would be the exact number that's listed in the prompt itself.

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Re: Working alone at its constant rate, machine K took 3 hours to produce   [#permalink] 07 Jul 2020, 15:36

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