35. 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?
Answer: D
Jim would expect to take 4 1/3 hours to type his paper.
To determine how long Jim will take to type his 1700-word paper at a rate of 45 words per minute, we first calculate the total minutes required and then convert that into hours. Dividing 1700 by 45 gives approximately 37.78 minutes. When converted to hours, this equals about 4 hours and 13 minutes, or 4 1/3 hours.
A) 3 1/3
Choosing 3 1/3 hours would imply that Jim could complete his paper in a total of 200 minutes. However, this is insufficient time given that the estimated typing time is approximately 37.78 minutes, which far exceeds this duration.
B) 3 2/3
Option B suggests that Jim could finish in 3 2/3 hours, equating to 220 minutes. This time frame is still inadequate since it does not account for the full duration required to type 1700 words at 45 words per minute, which is approximately 37.78 minutes.
C) 4
Selecting 4 hours would mean Jim has 240 minutes to complete his typing. While this option provides a longer duration than the previous choices, it still does not precisely reflect the calculated time of 4 1/3 hours, which is more accurate based on the typing speed and total word count.
D) 4 1/3
This option correctly accounts for the estimated time needed for Jim to finish typing his 1700-word paper. At 45 words per minute, the calculated time of approximately 37.78 minutes converts to 4 hours and 13 minutes, accurately represented as 4 1/3 hours.
E) 4 2/3
Selecting 4 2/3 hours would result in a total of 280 minutes. This duration exceeds the actual time needed for Jim to complete his paper, making it an incorrect choice when compared to the accurate calculation of 4 1/3 hours.
Conclusion
The correct answer, 4 1/3 hours, is definitively right as it aligns with the calculated time Jim requires to type his research paper. Other options fail as they either underestimate or overestimate the required time, demonstrating a misunderstanding of the relationship between word count, typing speed, and time taken.