Justine's typing speed is 36 wpm (words per minute). She finished a job in 5 hours. How long would the same job have taken her if she typed 48 wpm?
36 * 60 * 5 = 10,800 words
10,800 / 48 = 225 minutes = 3.75 hours
To find out how long it would have taken Justine to finish the job if she typed at 48 wpm, we can set up a proportion using the given information.
Let's assume that the job involves typing a certain number of words. Since Justine's typing speed is 36 wpm, we can say that she types 36 words in 1 minute.
So, if Justine types at a rate of 36 words per minute, we can set up the proportion:
36 words / 1 minute = X words / 5 hours
Cross-multiplying, we get:
36 X 5 = 1 X
180 = X
Therefore, the number of words in the job is 180.
Now, let's find out how long it would take Justine to type 180 words at a rate of 48 wpm.
We can set up another proportion:
36 words / 1 minute = 180 words / Y minutes
Cross-multiplying, we get:
36Y = 180
Dividing both sides by 36, we find:
Y = 180 / 36
Y = 5 minutes
Thus, if Justine types at a rate of 48 wpm, it would take her 5 minutes to complete the job.