A printer can print 24000 pages in 2 hours.
a. If the printer starts printing at 2:30 p.m., how many pages will be printed by 5:15 p.m.?
We know that you can print 24000 pages in 2 hours. So to find how many you can print in one hour divide 24000 by 2 which will get you to 12000. 12000 pages in one hour. But we know that to get from 2:30 to 5:15 you have 2 hrs and 45 min. But then again, 1 hr is equal to 60 min, now we have to do 12000/60 which gets us to 200 pages in one minute. All we have to do now is multiply. 12000 time 2 gets us to 24000 pages, 200 times 45 is 9000. SO now just add 9000+24000= 33000.
24000/2 - x/2.75
Cross multiply and solve for x.
To find out how many pages will be printed between 2:30 p.m. and 5:15 p.m., we need to determine the number of hours the printer will be running during this time period.
Step 1: Find the time difference
The time difference between 2:30 p.m. and 5:15 p.m. is 2 hours and 45 minutes.
Step 2: Convert minutes to hours
As 1 hour is equal to 60 minutes, we need to convert the 45 minutes to hours. Divide 45 minutes by 60:
45 minutes ÷ 60 minutes/hour = 0.75 hours
Step 3: Add the hours
Add the 2 hours from the time difference (Step 1) to the converted 0.75 hours (Step 2):
2 hours + 0.75 hours = 2.75 hours
Step 4: Calculate the number of pages printed
Now, we can use the information given in the problem that the printer can print 24,000 pages in 2 hours.
Divide the total number of pages by the total number of hours to find the number of pages printed per hour:
24,000 pages ÷ 2 hours = 12,000 pages per hour
Multiply the number of pages printed per hour by the total number of hours the printer is running (Step 3):
12,000 pages/hour × 2.75 hours = 33,000 pages
Therefore, by 5:15 p.m., the printer will have printed 33,000 pages.
To find out how many pages will be printed by 5:15 p.m., we need to determine the number of hours between 2:30 p.m. and 5:15 p.m.
Step 1: Calculate the time difference
To calculate the time difference, subtract the starting time from the ending time.
5:15 p.m. - 2:30 p.m. = 2 hours and 45 minutes.
Step 2: Convert minutes to hours
As the printer's printing speed is given in terms of hours, we need to convert the 45 minutes to hours.
45 minutes ÷ 60 minutes = 0.75 hours.
Step 3: Add the hours
Add the calculated hours to the initial 2 hours.
2 hours + 0.75 hours = 2.75 hours.
Now, we know that the printer will be printing for 2.75 hours from 2:30 p.m. to 5:15 p.m.
Step 4: Calculate the number of pages printed
Since the printer can print 24,000 pages in 2 hours, we can use this ratio to find the number of pages printed in 2.75 hours.
To find the number of pages printed per hour, divide the total number of pages printed by the total number of hours.
24,000 pages ÷ 2 hours = 12,000 pages/hour.
To find the number of pages printed in 2.75 hours, multiply the pages per hour by the total number of hours.
12,000 pages/hour × 2.75 hours = 33,000 pages.
Therefore, the printer will have printed 33,000 pages by 5:15 p.m.