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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
Correct answer:
B) 27.6 hours
Description for Correct answer:
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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