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Working at their respective constant rates, machine I makes 240 copies

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Joined: 02 Sep 2009
Posts: 51121
Working at their respective constant rates, machine I makes 240 copies  [#permalink]

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27 May 2018, 11:11
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Difficulty:

5% (low)

Question Stats:

96% (01:24) correct 4% (02:07) wrong based on 64 sessions

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Working at their respective constant rates, machine I makes 240 copies in 8 minutes and machine II makes 240 copies in 5 minutes. At these rates, how many more copies does machine II make in 4 minutes than machine I makes in 6 minutes?

A) 10

B) 12

C) 15

D) 20

E) 24

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Joined: 04 Jan 2015
Posts: 2291
Re: Working at their respective constant rates, machine I makes 240 copies  [#permalink]

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27 May 2018, 11:36

Solution

Given:
• Machine 1 makes 240 copies in 8 minutes
• Machine 2 makes 240 copies in 5 minutes
• Both machines work at their respective constant rate

To find:
• How many more copies does machine 2 make in 4 minutes than machine 1 makes in 6 minutes

Approach and Working:
• Machine 1 makes 240 copies in 8 minutes
o Hence, in 1 minute, machine 1 makes $$\frac{240}{8}$$ = 30 copies
o In 6 minutes, machine 1 makes 30 * 6 = 180 copies
• Machine 2 makes 240 copies in 5 minutes
o Hence, in 1 minute, machine 2 makes $$\frac{240}{5}$$ = 48 copies
o In 4 minutes, machine 1 makes 48 * 4 = 192 copies

• Therefore, the number of extra copies made by machine 2 = 192 – 180 = 12

Hence, the correct answer is option B.

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Re: Working at their respective constant rates, machine I makes 240 copies  [#permalink]

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07 Aug 2018, 08:11
Bunuel wrote:
Working at their respective constant rates, machine I makes 240 copies in 8 minutes and machine II makes 240 copies in 5 minutes. At these rates, how many more copies does machine II make in 4 minutes than machine I makes in 6 minutes?

A) 10

B) 12

C) 15

D) 20

E) 24

---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

machine II= 4/5=0,8*240= 192 copies
machine I = 6/8=0,75*240=180 copies

192-180= 12
Re: Working at their respective constant rates, machine I makes 240 copies &nbs [#permalink] 07 Aug 2018, 08:11
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