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If 40 pages are printed in 5 minutes by a printer, how many pages will be printed in 3 hours?
1810
1440
1620
1560
1440
To solve this, first determine the rate of printing per minute: 40 pages divided by 5 minutes equals 8 pages per minute. Since 3 hours contain 180 minutes (3 multiplied by 60), multiplying 180 by 8 results in a total of 1440 pages.
To solve this, first determine the rate of printing per minute: 40 pages divided by 5 minutes equals 8 pages per minute. Since 3 hours contain 180 minutes (3 multiplied by 60), multiplying 180 by 8 results in a total of 1440 pages.
The concept of unit rate and proportionality is fundamental to the Quantitative Aptitude section of the UPSC CSAT, SSC CGL, and Banking exams, which test speed and accuracy in basic arithmetic.
Rate calculation: 40 pages / 5 minutes = 8 pages/minute.
Time conversion: 1 hour = 60 minutes; therefore, 3 hours = 180 minutes.
Total production: 180 minutes * 8 pages/minute = 1440 pages.
This problem uses the unitary method, a standard technique for solving work-time-distance problems in competitive exams.
Constant rate of work assumes the printer performs at a uniform speed without any machine downtime or interruptions.
Option B is the correct mathematical result derived from the product of the rate and the converted total time.
Option A, C, and D are incorrect calculations that do not align with the rate of 8 pages per minute applied to 180 minutes.
B is correct тАФ By calculating the unit rate of 8 pages per minute and multiplying it by the total duration of 180 minutes, the total output is exactly 1440 pages.
In arithmetic aptitude, always convert all time units to a consistent base (like minutes) before performing multiplication to avoid errors in competitive exam pressure.
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