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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?
- A25 hours
- B27.6 hours
- C27 hours
- D28 hours
Answer not set
Discussion 1
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CCommunity
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
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