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Sub 505 (Easy)|   Work and Rate Problems|                  
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Bunuel
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


NEW question from GMAT® Quantitative Review 2019



(PS03439)

The efficiency of the machine per hour is \(20*60 = 1200\)

So, To produce \(4800\) copies time required is \(\frac{4800}{1200} = 4\) Hours, Answer must be (A)
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Bunuel
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


NEW question from GMAT® Quantitative Review 2019



(PS03439)
------------------------------------------------------------------------------------------------------------------------------------------------


20 copies in 60 seconconds

20/60=3 seconds per 1 copy
4,800 copies * 3seconds= 14400 seconds
14400/per 60=240 minutes
240 minutes/60=4 hours
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Copy machine makes 20 copies=1 min
So, 4800 copies=4800/20= 240 mins

240 mins=240/60 = 4 hrs

(A)
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20 copies per minute is equivalent to 60x20 copies/hour = 1200 copies/hour

dividing 4800/1200 or to make it more simple 48/12 the answer is 4.

so (A) is the answer.
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Chain Rule:

Let r be the rate, now

r * 1 minute= 20 copies,
multiply 240 on both sides-

r * 240 minutes = 4800 copies

So, 240 minutes is basically 4 hours

Bunuel
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8


NEW question from GMAT® Quantitative Review 2019



(PS03439)
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By Taking ratios:

Time taken to make 4,800 copies of a one-page document = X

Therefore,

20 copies /1min = 4800 copies/X min
Solve for X,
X= 240 mins
X= 4 hours.
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Bunuel
Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?

A. 4
B. 5
C. 6
D. 7
E. 8





Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience

[email protected]
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