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Running at the same constant rate, 3 identical machines can produce a
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27 Sep 2022, 02:31
27 Sep 2022, 02:31
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Question Stats:
87% (01:15) correct
12% (03:16) wrong based on 16 sessions
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Running at the same constant rate, 3 identical machines can produce a total of x rods per minute. At this rate, how many rods could 8 such machines produce in 5 minutes?
(A) 40x/3
(B) 24x/5
(C) 15x/8
(D) 8x/15
(E) 3x/4
(A) 40x/3
(B) 24x/5
(C) 15x/8
(D) 8x/15
(E) 3x/4
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GRE Math Essentials (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 09 Nov 2021
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Given Kudos: 6
Running at the same constant rate, 3 identical machines can produce a
[#permalink]
27 Sep 2022, 06:56
27 Sep 2022, 06:56
2
If 3 machines produce x rods/minute, then this implies that one machine would do 1/3 of the work: that is, x/3 rods/minute.
If we know the rate for one machine, we can find the rate for 8 machines, which is simply 8 times the rate for one:
x/3 rods/minute * 8 = 8x/3 rods/minute
Then work done = speed of work * time:
number of rods = 8x/3 rods/minute * 5 minutes
==> rods = 40x/3
Answer A.
Here, note that we could easily take the rate for 3 machines and multiply by 8/3 to get the rate for 8 machines and this would get the same answer. I did it in stages, but you can do it more quickly if that's comfortable.
If we know the rate for one machine, we can find the rate for 8 machines, which is simply 8 times the rate for one:
x/3 rods/minute * 8 = 8x/3 rods/minute
Then work done = speed of work * time:
number of rods = 8x/3 rods/minute * 5 minutes
==> rods = 40x/3
Answer A.
Here, note that we could easily take the rate for 3 machines and multiply by 8/3 to get the rate for 8 machines and this would get the same answer. I did it in stages, but you can do it more quickly if that's comfortable.
gmatclubot
Running at the same constant rate, 3 identical machines can produce a [#permalink]
27 Sep 2022, 06:56
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