Question

if 6 typist typing 8 hours a day and equal speeds take 20 days to complete a manuscript if the work is to be completed in 12 days how many more type should be employed if each type it type is work for 5 hours a day

Answer 1

Answer:

10 more typists should be employed

Step-by-step explanation:

Given that 6 typists typing 8 hours a day take 20 days to complete a manuscript

Total work $= 6 \times 8 \times 20\hspace{0.1cm}typist-hours$

Now, work needs to be completed in 12 days and typist working 5 hours a day

Let number of typist required be $x$

Thus, total work$= x \times 5 \times 12\hspace{0.1cm}typist-hours$

Both the work is same, thus equating the above two equations, we get

$6 \times 8 \times 20 = x \times 5 \times 12\\\\60x = 960\\\\x = \frac{960}{60}\\\\x = 16$

We have 6 typists

More number of typists needed $= 16 - 6 = 10$

Answer 2

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