Question 124

Three typists P, Q and R have to type 368 pages. P types one page in 8 minutes, Q in 18 minutes and R in 24 minutes. In what time will these pages be typed if they work together?

Solution

Pages printed by P, Q and R in one minute

= $$\frac{1}{8} + \frac{1}{18} + \frac{1}{24}$$

= $$\frac{9 + 4 + 3}{72} = \frac{16}{72}$$

= $$\frac{2}{9}$$

Number of pages to be printed = 368

$$\therefore$$ Time taken = $$\frac{9}{2} \times 368$$

= $$1656$$ minutes

= $$\frac{1656}{60} = 27.6$$ hours

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