Question

14 typists typing 6 hours a day can take 12 days to complete the manuscript of a book. How many days will 4 typists, working 7 hours a day, can take to do the same job?
[3 marks]

Answer 1

Job is done by 14 typists working 6 hours a day in 12 days.
Job is done by 1 typist working 6 hours a day in (12 x 14) days.
Job is done by 1 typist working 1 hour a day in (12 x 14 x 6) days.
[1 mark]

Job will be done by 4 typists working 1 hour a day in $\frac{(12\times 14\times 6)}{4}$days.
Job will be done by 4 typists working 7 hours a day in $\frac{(12\times 14\times 6)}{4\times 7}$ days = 36 days
Hence, the required number of days is 36.
[2 mark]