Twelve typists, all working with same speed, type a certain number of pages in 18 days working 8 hours a day. Find, how many hours per day must sixteen typists work in order to type the same number of pages in 9 days?

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Solution

12 typists can type in 18 days with number of working hours in day = 8 hours.
1 typist can type in 18 days $= 8 \times 12$ hour
1 typist can type in 9 days $= 2 (8 \times 12)$ hour
16 typist can type in a day $= \frac{2 (8 \times 12)}{16} = 12$ hours.

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Twelve typists, all working with same speed, type a certain number of pages in 18 days working 8 hours a day. Find, how many hours per day must sixteen typists work in order to type the same number of pages in 9 days?

12 typists can type in 18 days with number of working hours in day = 8 hours. 1 typist can type in 18 days =8×12 hour 1 typist can type in 9 days =2(8×12) hour 16 typist can type in a day =2(8×12)16=12 hours.

12 typists can type in 18 days with number of working hours in day = 8 hours.
1 typist can type in 18 days $= 8 \times 12$ hour
1 typist can type in 9 days $= 2 (8 \times 12)$ hour
16 typist can type in a day $= \frac{2 (8 \times 12)}{16} = 12$ hours.