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Two men, Ralph and Sean, take up a typing job requiring 100 pages to be typed. Each of them types 50pages. Sean charges $20 per hour while Ralph (being 1.5 times as fast as Sean) charges $30 per hour. Whatis the average hourly wage they earn? |
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Answer» Answer: average hourly wage they earn = 24 $ 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 $ |
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