10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will a woman finish the work?

Assume one man does 1 unit of work per day, meaning the total work is 100 units. The capacity of 10 men and 15 women is 10 plus 15 women units per day. Since they finish the work in 6 days, their combined daily capacity is 100 divided by 6. This equals 10 plus 15 women, so 15 women equals 100/6 minus 10, which is 40/6. The daily work of one woman is 4/9 unit, meaning she alone would take 100 divided by 4/9 days, which is 225 days.

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