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Joseph typed a 1,200-word essay in 25 mi...

Joseph typed a 1,200-word essay in 25 minutes with an average of 240 words on a page. At this rate,how many 240-word pages can he type in 1 hour?

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To solve the problem step by step, we will follow these calculations: ### Step 1: Determine the words typed per minute Joseph typed a 1,200-word essay in 25 minutes. To find out how many words he types in one minute, we can use the formula: \[ \text{Words per minute} = \frac{\text{Total words}}{\text{Total time in minutes}} = \frac{1200 \text{ words}}{25 \text{ minutes}} = 48 \text{ words per minute} \] ### Step 2: Calculate the time taken to type one page We know that each page contains 240 words. To find out how long it takes Joseph to type one page, we can use the following formula: \[ \text{Time per page} = \frac{\text{Words per page}}{\text{Words per minute}} = \frac{240 \text{ words}}{48 \text{ words per minute}} = 5 \text{ minutes} \] ### Step 3: Determine how many pages can be typed in one hour Now, we need to find out how many pages Joseph can type in one hour (60 minutes). We can calculate this by dividing the total time available by the time taken to type one page: \[ \text{Number of pages in one hour} = \frac{\text{Total time in minutes}}{\text{Time per page}} = \frac{60 \text{ minutes}}{5 \text{ minutes per page}} = 12 \text{ pages} \] ### Conclusion At this rate, Joseph can type **12 pages** of 240 words each in one hour. ---
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Knowledge Check

  • Jake can type 60 words per minute. If the total number of words typed is w and the number of hours that he types is h, which correctly shows the relationship between w and h ?

    A
    w=60 h
    B
    w=3600h
    C
    `w/h=1/60`
    D
    `w/h=1/(3,600)`
  • A typing class in elementary school is divided into three groups . The Red Robins, with 6 students , has an average typing speed of 60 words per minute , the Blue Wax Bills, with 10 students , has an average typing speed of 45 words per minute , and the Gold Finches , with 16 students , has an average typing speed of 30 words per minute. What is the average (arithmetic mean ) of the typing speeds, in words per minute , for the class ?

    A
    27.3
    B
    32.0
    C
    40.3
    D
    45.0
  • One of the requirements for becoming a court reporter is the ability to type 225 words per minute. Donald can currently type 180 words per minute, and believes that with practice he can increase his typing speed by 5 words per minute each month. Which of the following represents the number of words per minute that Donald believes he will be able to type m months from now?

    A
    5 + 180m
    B
    225 + 5m
    C
    180 + 5m
    D
    180 - 5m
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