Jim estimates that his research paper will be 1700 words long. If he types at an average rate of 45 words per minute, how many hours would he expect to take to type his paper?

Rationale

Jim would expect to take 4 1/3 hours to type his paper.

To determine the time Jim will take to type 1700 words at a rate of 45 words per minute, we first calculate the total minutes required (1700 words ÷ 45 words/minute = 37.78 minutes), which converts to approximately 4.33 hours, or 4 1/3 hours.

A (3 1/3) YOUR ANSWER

This choice equates to 3 hours and 20 minutes, which would imply Jim is typing at a faster rate or completing fewer words than necessary. At 45 words per minute, he would only reach about 2000 words in that time, which does not match the required 1700 words.

B (3 2/3) YOUR ANSWER

This choice represents 3 hours and 40 minutes. While this time might seem reasonable, it suggests that Jim would be typing at a speed that still does not account for the total word count of 1700 words. At 45 words per minute, he would finish 2200 words in that time, exceeding the required amount.

C (4) YOUR ANSWER

This option corresponds to exactly 4 hours. At 45 words per minute, Jim would type a total of 10,800 words in 4 hours, far surpassing the 1700 words he intends to write. Therefore, this estimate is too short for the task.

D (4 1/3) CORRECT

This is the correct answer, as it accurately reflects the time required for Jim to type 1700 words at an average rate of 45 words per minute. The calculation yields approximately 4.33 hours, or 4 hours and 20 minutes, aligning perfectly with Jim’s estimated writing time.

E (4 2/3) YOUR ANSWER

This choice equates to 4 hours and 40 minutes, which is longer than necessary. At this duration, Jim would type 2800 words (4 hours and 40 minutes at 45 words per minute), which significantly exceeds his goal of 1700 words.

Conclusion

Calculating the time needed to type a specific word count requires both the total words and the typing speed. Jim's estimate of 4 1/3 hours aligns with the necessary calculations, ensuring he allocates sufficient time to complete his 1700-word research paper at an average typing speed of 45 words per minute. All other choices miscalculate the time required, either underestimating or overestimating his typing duration.

Jim estimates that his research paper will be 1700 words long. If he types at an average rate of 45 words per minute, how many hours would he expect to take to type his paper?

Jim would expect to take 4 1/3 hours to type his paper.

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