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

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seabhi
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Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   Updated on: 24 Feb 2014, 07:00
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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
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A

Originally posted by seabhi on 24 Feb 2014, 04:56.
Last edited by Bunuel on 24 Feb 2014, 07:00, 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] New post   24 Feb 2014, 07:02
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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.

Answer: A.
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Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   25 Nov 2014, 10:44
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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] New post   20 Sep 2017, 23:55
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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Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   Updated on: 24 Sep 2017, 22:15
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

Answer A

Originally posted by shashankism on 21 Sep 2017, 00:02.
Last edited by shashankism on 24 Sep 2017, 22:15, edited 1 time in total.
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Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   24 Sep 2017, 05:28
Expert Reply
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?

\(\frac{10parts}{2 mins}\) = \(\frac{x}{6 mins}\)

\(2x = 60\), \(x = 30\)

Answer A
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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   26 Sep 2017, 16:40
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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


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.

Answer: A
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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   01 Jun 2019, 04:36
Rate of Machine B = 100/40 = 2.5
Rate of Machine A= 2X * 2.5 = 5
Machine A can produce = 5*6 =30
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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   01 Jun 2019, 21:13
Expert Reply
Given:

Machine A produces 100 parts twice as fast as Machine B.

Since Machine B produces 100 parts in 40 minutes, Machine A produces 100 parts in 20 minutes. (Both machines produces parts at a constant rate)

Number of parts produced by Machine A in 20 minutes = 100

Number of parts produced by Machine A in 1 minute = \(\frac{100}{20}\)= 5

Number of parts produced by Machine A in 6 minutes = 6*5 = 30

The correct answer is A
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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink] New post   18 Apr 2023, 00:36
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Re: Machine A produces 100 parts twice as fast as Machine B does [#permalink]
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