Question

$10$ women can complete a work in $7$ days and $10$ children take $14$ days to complete the work. How many days will $5$ women and $10$ children take to complete the work?

• A. $3$
• B. $5$
• C. $7$
• D. Cannot be determined
• E. None of these

Answer 1

Answer: (C)

$7$

$1$ woman's $1$ day's work $=\frac{1}{70}$
$1$ child's $1$ day's work $=\frac{1}{140}$
($5$ women$+$ $10$ children)'s day's work$=(\frac{5}{70}+\frac{10}{140})=(\frac{1}{14}+\frac{1}{14})=\left(\frac{1}{7}\right)$
$\therefore$ $5$ women and $10$ children will complete the work in $7$ days.