Question

A man works twice as fast as a woman. A woman works twice as

fast as a boy. If 16 men can complete a job in 12 days, how many days

would be required for 32 women and 64 boys together to complete the

same job?​

Answer 1

Answer:

32 women will finish the job in 48 days and 64 boys will finish the job in 198

Step-by-step explanation:

Answer 2

In 12 days, 16 men do a job.

So work done by 16 men together in a single day=$\frac{16}{12}$

Work done by a man in a single day=$\frac{1}{16} * \frac{16}{12} = \frac{1}{12}$

A man work twice as fast as a woman. In other words, a woman work half as fast as a man

Work done by women in a single day$= \frac{1}{2} * \frac{1}{12} = \frac{1}{24}$

A woman work twice as fast as a child. In other words, child work half as fast as a woman

Work done by a child in a single day$= \frac{1}{2} * \frac{1}{24} = \frac{1}{48}$

Net work done by 32 women and 64 boys together in a single day=$32*\frac{1}{24} + 64 * \frac{1}{48}$=$\frac{64+64}{48}$=$\frac{8}{3}$

Time taken by them to work together=$\frac{3}{8}$ days

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