A computer programmer needs to print 148 documents. The documents have

Question

A computer programmer needs to print 148 documents. The documents have an average (arithmetic mean) length of 10 pages and the printer takes 15 seconds to print each page. Approximately how many hours will it take to print all the documents if they are printed without interruptions?

(A) 1/2 hr
(B) 2 hr
(C) 2 1/2 hr
(D) 6 hr
(E) 24 hr

(A) 1/2 hr 
(B) 2 hr 
(C) 2 1/2 hr
(D) 6 hr 
(E) 24 hr

Skywalker18 · Accepted Answer

Total number of documents = 148
Average length of a document = 148 *10 = 1480

Time taken to print 1 page = 15 sec
Pages printed in 1 min = 4 
Pages printed in an hour = 4*60 = 240

Time taken = 1480/ 240= 6 hours 10 mins

If the number of document were 144 then total pages would have been 1440 . That would have given us 6 hours .

CounterSniper · Answer

148 documents with an average of 10 pages each 
we therefore have 1480 as the total no of pages
time taken =1480*15/60*60 in hours
6.04 hours

GMATinsight · Answer

CONCEPT :  \frac{(Machine_Power * Time)}{Work} = Constant   
i.e.  \frac{(M_1 * T_1)}{W_1} = \frac{(M_2 * T_2)}{W_2}

Work ( W_2 ) = 148 Documents = 1480 Pages
Time ( T_2 ) = ?

\frac{(1 * 15)}{1} = \frac{(1 * T_2)}{1480}

T_2 = 1480*15 secs = 1480*15/3600 Hours = 6.16 Hours

Answer: Option D

r24x7 · Answer

Number of Documents = 148.
Avg. Number of pages per document = 10.
Total Pages = 148 * 10 = 1480.

Speed of Printer = 15 Seconds Per Page.
so , 1 Page = 15 Seconds.
 1480 Pages = 15 * 1480 = 22200 Seconds.
Value in Hours = 22200 / (60*60) = ~6 Hours.

Abhishek009 · Answer

Total number of pages required to be printed is 148*10 = 1480 pages.

So, in 1 minute 4 pages will be printed.
In 1 Hour 240 pages will be printed.

Time taken to print 1480 pages is 1480/240=>6.17 hours ~ 6 Hours.

Hence Answer is (D)

gjonrexha · Answer

Simple

148*10 = 1480 ---> # of total pages
4 pages/ min (15 secs each to print 4 pages)
1480/4 = # number of minutes 
360 = min
360/6 = num of hours

JeffTargetTestPrep · Answer

It will take (148 x 10) x 15 = 1480 x 15 seconds to complete printing all the documents. We convert seconds to hours (3600 seconds in one hour), obtaining:

(1480 x 15)/3600 = (148 x 15)/360 = 148/24 ≈ 6 hours.

Answer: D

BrentGMATPrepNow · Answer

We can also answer this question using a  step-by-step approach based on number sense.

IMPORTANT: The word  approximately  typically suggests that we can be somewhat aggressive with our  estimation

There are 148 documents and the documents have an average length of 10 pages
So, the TOTAL number of pages to print = (148)(10) = 1480 ≈  1500

The printer takes  15  seconds to print   1   page
This means the printer takes  60  seconds to print   4   pages
In other words, the printer takes  1  MINUTE to print   4   pages
So, the printer takes  60  MINUTES to print   250   pages
In other words, the printer takes  1  HOUR to print   250   pages
So, the printer takes  2  HOURS to print   500   pages
So, the printer takes  6  HOURS to print   1500   pages

Answer: D

Cheers,
Brent

CrackverbalGMAT · Answer

The documents have an average (arithmetic mean) length of 10 pages

=>The total number of pages = 148 * 10 = 1480

The printer takes 15 seconds to print each page

Time taken to print the pages = 1480* 15 sec

= 1480 *15/60 * 60 hours (1hr = 60 min and 1min =60 sec)

= 6hrs(approx)

(option d)

KarishmaB · Answer

For 1 page, time taken = \frac{15}{60*60} hrs For 148*10 pages, time taken = 148 * 10 * \frac{15}{60*60} = 6 hrs approx Answer (D) Check out this post on Unit Conversion: https://anaprep.com/arithmetic-unit-conversion/

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