To determine how many hours it will take Bill to type the paper, we need to follow a step-by-step approach:
1. Calculate the total number of words in the paper:
The paper is [tex]\( p \)[/tex] pages long, and each page contains [tex]\( w \)[/tex] words. Therefore, the total number of words [tex]\( T \)[/tex] in the paper is:
[tex]\[
T = p \times w
\][/tex]
2. Calculate the number of minutes needed to type all the words:
Bill types [tex]\( x \)[/tex] words per minute. To find out how many minutes [tex]\( M \)[/tex] it would take Bill to type all [tex]\( T \)[/tex] words, we use the formula:
[tex]\[
M = \frac{T}{x} = \frac{p \times w}{x}
\][/tex]
3. Convert the time from minutes to hours:
There are 60 minutes in an hour. To convert the time from minutes to hours, we divide the number of minutes by 60. The time [tex]\( H \)[/tex] in hours is given by:
[tex]\[
H = \frac{M}{60} = \frac{\frac{p \times w}{x}}{60} = \frac{p \times w}{60 \times x}
\][/tex]
So, the number of hours it will take Bill to finish typing the paper is:
[tex]\[
H = \frac{p \times w}{60 \times x}
\][/tex]
Thus, the answer is:
(D) [tex]\(\frac{w p}{60 x}\)[/tex]
