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# Machine A produces 100 parts twice as fast as Machine B does

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Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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24 Feb 2014, 03:56
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Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?

(A) 30
(B) 25
(C) 20
(D) 15
(E) 7.5
[Reveal] Spoiler: OA

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Last edited by Bunuel on 24 Feb 2014, 06:00, edited 1 time in total.
Edited the question.

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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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24 Feb 2014, 06:02
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seabhi wrote:
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?

(A) 30
(B) 25
(C) 20
(D) 15
(E) 7.5

Machine B produces 100 parts in 40 minutes. Since Machine A is twice as fast as Machine B, then Machine A produces 100 parts in 40/2=20 minutes.

In 6 minutes Machine A produces 6/20*100 = 30 parts.

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Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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25 Nov 2014, 09:44
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I did it this way

Machine B produces 100 part in 40 minutes. Machine A produces 100 parts twice as fast as B, so Machine A produces 100 parts in 40/2=20 minutes.

Now, Machine A produces 100 parts in 20 minutes which is 100/20 = 5 parts/minute.

5 parts X a total of 6 minutes = 30

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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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17 Feb 2016, 12:45
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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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11 Jun 2017, 02:21
Hello from the GMAT Club BumpBot!

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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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20 Sep 2017, 22:55
if machine A produces the parts twice as fast as machine B does,then machine A requires half as much times as machine B does, or 20 minutes, to produce 100 parts. in 6 minutes machine A will produce
A=100/20 * 6
= 30 parts
so, the best answer is 30

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Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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20 Sep 2017, 23:02
seabhi wrote:
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?

(A) 30
(B) 25
(C) 20
(D) 15
(E) 7.5

Let Machine A produces 100 parts in x hours. So, Machine B produces 100 parts in 2x hours.
Now Machine B produces 100 parts in 40 hours. So, Machine A produces 100 parts in 40/2 = 20 hours.

Machine A produce in 6 minutes = 100/20 *6 = 30

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Last edited by shashankism on 24 Sep 2017, 21:15, edited 1 time in total.

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Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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24 Sep 2017, 04:28
seabhi wrote:
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?

(A) 30
(B) 25
(C) 20
(D) 15
(E) 7.5

Rate of Machine B:

$$\frac{100parts}{40mins}$$ = $$\frac{5parts}{2mins}$$

Rate of Machine A is twice that of B

Rate of Machine A:

$$\frac{5parts}{2mins} * 2$$ = $$\frac{10parts}{2 mins}$$

How many parts does Machine A produce in 6 minutes?

$$\frac{10parts}{2 mins}$$ = $$\frac{x}{6 mins}$$

$$2x = 60$$, $$x = 30$$

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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink]

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26 Sep 2017, 15:40
seabhi wrote:
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?

(A) 30
(B) 25
(C) 20
(D) 15
(E) 7.5

We can see that the rate of Machine B = 100/40 = 5/2 parts per minute. Since Machine A is twice as fast as Machine B, the rate of Machine A = 5/2 x 2 = 5 parts per minute.

Thus, in 6 minutes, Machine A can produce 5 x 6 = 30 parts.

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Re: Machine A produces 100 parts twice as fast as Machine B does   [#permalink] 26 Sep 2017, 15:40
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