Question

4)
Two men, Ralph and Sean, take up a typing job requiring 100 pages to be typed. Sean charges
$20 per hour while Ralph (being 1.5 times as fast as Sean) charges $30 per hour. Both of
them work for 6 hours. What is the average hourly wage they earn?



please give the steps??????​

Answer 1

Step-by-step explanation:

Two men, Ralph and Sean, take up a typing job requiring 100 pages to be typed. Each of them types 50

pages. Sean charges $20 per hour while Ralph (being 1.5 times as fast as Sean) charges $30 per hour

Let say Sean speed X pages per hr

Sean type 50 pages

Number of hrs taken = 50/X hr

Charges = 20 * 50/X = 1000/X $

Ralph speed 1.5X pages per hr

Ralph type 50 pages

Number of hrs taken = 50/(1.5X) = 100/3X hr

Charges = 30 * 50/(1.5X)X = 1000/X $

Total Charges = 1000/X + 1000/X = 2000/X $

Total Hrs = 50/X + 100/3X = (150 + 100)/3X = 250/3X

average hourly wage = Total Charges /Total Hrs

= (2000/X)/(250/3X)

= 24

Average hourly wage they earn = 24 $