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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?

 A) 25 hours B) 27.6 hours C) 27 hours D) 28 hours

 B) 27.6 hours

Page printed in one minute

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

= $$\Large \frac{9 + 4 + 3}{72} = \frac{16}{72} = \frac{2}{9}$$

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

= 1656 minutes = 27.6 hours

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