Working together, printer A and printer B would finish the task in 30 minutes.

Working together, printer A and printer B would finish the task in 30 minutes. Printer A alone would finish the task in 50 minutes. How many pages does the task contain if printer B prints 3 pages a minute more than printer A ?

Quiz

Answer/Solution

400

Steps/Work

30*A + 30*B = x pages
in 30 mins printer A will print = 30/50 * x pages = 3/5*x pages
thus in 30 mins printer printer B will print x - 3/5*x = 2/5*x pages
Also it is given that printer B prints 3 more pages per min that printer A. In 30 mins printer B will print 90 more pages than printer A
thus 3/5*x - 2/5*x = 90 => x = 400 pages
Answer: B