Final answer:
To calculate the number of hours Samuel would take to type 3.7 x 10⁵ words at a rate of 40 words per minute, divide the total number of words by the typing speed and convert the result from minutes to hours. The calculation leads to approximately 154.17 hours, suggesting there may be a typo in the provided options.
Step-by-step explanation:
The student asks how many hours it would take for Samuel, who can type nearly 40 words per minute, to type 3.7 x 10⁵ words. To find the answer, one should calculate the total number of minutes Samuel requires to type this number of words and then convert the minutes into hours. First, we divide the total number of words by the number of words Samuel can type in a minute:
Total time in minutes = Total words to type / Words typed per minute
Total time in minutes = 3.7 x 10⁵ words / 40 words/minute
This equals 9250 minutes. Then, we convert minutes into hours by dividing by 60, as there are 60 minutes in an hour:
Total time in hours = Total time in minutes / 60
Total time in hours = 9250 minutes / 60
So the total time in hours would be approximately 154.17 hours, which is not one of the options, indicating that there might be a typo in the problem or provided choices. However, if one of the options must be chosen, option (d) 9.25 hours is the closest answer to the correct calculation, but it is still not accurate.