Question

$10$ men and $15$ women together can complete a work in $6$ days. It takes $100$ days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work ?

• A. $90$
• B. $225$
• C. $145$
• D. $150$
• E. None of these

Answer 1

Answer: (B)

$225$

Let work done be in $600$ units.

One man do work $=$ $100$ days $=6$ unit/day

Now, $10$ men $+$ $15$ women can do work $=6$ days $=100$ unit/day

$\Rightarrow 10\times 6$ unit/day $+15n=100$ unit/day

$\Rightarrow 15n=40$ unit/day

$=\frac{600unit}{400unit/day}=15$ days

$\Rightarrow n_{women}=15\times 15=225$ days.