Question

Jim Smith is a word processor. He is paid $3.50 a page. A normal job has 500 pages and requires about 250 words per page, Jim types at 80 words per minute.
About how much money will Jim receive for his work?
How many hours will it take Jim to complete the job?

Answer 1

This math problem does not have a formula so we have to make one through analysis.

Here are the given details:

Money Per Page = $3.50/page
Job = 500 pages
Words Per Page = 250 words
Jim's Performance = 80 words/minute

Find:
Money Earned In Total = ?
Work Hour = ?

Here are the formula formulated through analysis:

Money Earned in Total = Money Per Page × Job
Work Hour = Job ÷ Jim's Performance

Solution:

Money Earned in Total = $3.50/page × 500 pages ; Multiply the numbers but cancel out the unit 'page'

Money Earned in Total = $1,750.00

Now, let's find the Work Hour:

Work Hour = 500 pages ÷ 80 words/minute ; in this case, we need to convert 500 pages to the total number of words all in all.

Conversion:

if 1 page = 250 words/page, therefore it is going to be:
500 pages × 250 words/page = 125,000 words ; we did this in order to have the unit 'page' to be cancelled out.

Now, let's substitute it.

Work Hour = 125,000 words ÷ 80 words/minute ; in this case, you can now cancel out the unit 'word'

Work Hour = 1,562.5 minutes ; since we are looking for hour, we need to convert it.

Conversion:

If 1 hour = 60 minutes, there it should be:
1,562.5 minutes ÷ 60 minutes/hour = 26.042 hours ; cancel out the unit 'minute'.

FINAL ANSWERS:
Money Earned in Total = $1,750.00
Work Hour = 26.042 hours