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At this rate, how many bolts could 4 such machines produce..

This topic has 4 expert replies and 0 member replies

At this rate, how many bolts could 4 such machines produce..

Post Tue Sep 12, 2017 11:00 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Running at the same constant rate, "a" identical machines can produce a total of 120 bolts per minute. At this rate, how many bolts could 4 such machines produce in 5 minutes?

    (A) a/6
    (B) a/600
    (C) 150/a
    (D) 480/a
    (E) 2,400/a

    The OA is E.

    I am very confuse here. Who is "a"? and why is E?

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    Post Tue Sep 12, 2017 12:35 pm
    Vincen wrote:
    Running at the same constant rate, "a" identical machines can produce a total of 120 bolts per minute. At this rate, how many bolts could 4 such machines produce in 5 minutes?

    (A) a/6
    (B) a/600
    (C) 150/a
    (D) 480/a
    (E) 2,400/a

    The OA is E.
    The "a" represents a variable.
    The question would be clearer if it read as follows:

    Quote:
    Running at the same constant rate, k identical machines can produce a total of 120 bolts per minute. At this rate, how many bolts could 4 such machines produce in 5 minutes?

    (A) k/6
    (B) k/600
    (C) 150/k
    (D) 480/k
    (E) 2,400/k
    Cheers,
    Brent

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    Post Tue Sep 12, 2017 12:40 pm
    Vincen wrote:
    Running at the same constant rate, "a" identical machines can produce a total of 120 bolts per minute. At this rate, how many bolts could 4 such machines produce in 5 minutes?

    (A) a/6
    (B) a/600
    (C) 150/a
    (D) 480/a
    (E) 2,400/a

    The OA is E.
    We can solve this question using equivalent ratios.

    Given: a identical machines produce a total of 120 bolts per ONE minute
    So, a identical machines produce a total of 600 bolts per FIVE minutes

    How many bolts could 4 such machines produce in 5 minutes?
    Let x = the number of bolts 4 machines can produce in 5 minutes
    We get: a/600 = 4/x
    Cross multiply to get: ax = (600)(4)
    Simplify to get: ax = 2400
    Divide both sides by a to get: x = 2400/a
    Answer: E

    Cheers,
    Brent

    _________________
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    Come see all of our free resources

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    Post Tue Sep 12, 2017 2:36 pm
    Vincen wrote:
    Running at the same constant rate, "a" identical machines can produce a total of 120 bolts per minute. At this rate, how many bolts could 4 such machines produce in 5 minutes?

    (A) a/6
    (B) a/600
    (C) 150/a
    (D) 480/a
    (E) 2,400/a
    Let a=1, implying that 1 machine produces 120 bolts per minute.
    Since 1 machine produces 120 bolts per minute, the rate for 4 machines = 4*120 = 480 bolts per minute.
    At a rate of 480 bolts per minute, the number of bolts produced by the 4 machines in 5 minutes = rt = 480*5 = 2400 bolts. This is our target.

    Now plug a=1 into the answer choices to see which yield the target value of 2400.
    Only E works:
    2400/a = 2400/1 = 2400.

    The correct answer is E.

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    Thanked by: Vincen
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    GMAT/MBA Expert

    Post Wed Sep 20, 2017 2:43 pm
    Vincen wrote:
    Running at the same constant rate, "a" identical machines can produce a total of 120 bolts per minute. At this rate, how many bolts could 4 such machines produce in 5 minutes?

    (A) a/6
    (B) a/600
    (C) 150/a
    (D) 480/a
    (E) 2,400/a
    We are given that the rate of a machines is 120. Thus, the rate of 4 machines is:

    a/120 = 4/x

    ax = 480

    x = 480/a

    Since the rate of 4 machines is 480/a bolts per minute, 4 machines can produce 480/a * 5 = 2400/a bolts in 5 minutes.

    Answer: E

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    Thanked by: Vincen

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