Question

Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 5 pages a minute more than printer A ?

1: 600
2: 800
3: 1000
4: 1200
5: 1500

Answer 1

The correct answer to this question is option (1).

Explanation:

Let x1 = Is number of pages that printer A can print in page/minute.

thus x1 + 5 = Is number of page that printer B can print in page/minute.

As printer A finishes his work in 60 min. So the task has 60x1 pages. As printers A and B both finish that task in 24 minutes. So the equation can be given as:

60x1 = 24x1 + 24(x1 + 5)

60x1 = 24x1 + 24x1 + 120

60x1=48x1 + 120

60x1-48x1=120

12x1=120

x1=120/12

x1=10

put the value of x1 in to (60x1). Therefore, the task has 60(10) = 600 pages. the task contains 600 pages.

So the answer to this question is option (1).