Working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 15, and 18 hours, respectively. What is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates?
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Step-by-step explanation:
time of x to do 1/12 of work = 1/12 hours
time of y to do 1/15 of work = 1/15 hours
time of z to do 1/18 of work = 1/18 hours
therefore y+z = 1/15 + 1/18 = 6+5/90 = 11/90
RATIO = (1/12) / (11/90)
= 90/132
= 15/22
= 15:22
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