Question

Two persons working 2 hours a day assemble 2 machines in 2 days. The number of machines assembled by 6 persons working 6 hours in 6 days is : __.

• A. $6$
• B. $18$
• C. $27$
• D. $54$

Answer 1

The correct option is D $54$

$2$ persons working for $2$ hours in $2$ days assemble machines
$1$ person working $2$ hrs in $2$ day assemble $=\frac{2}{2}$ machine
$1$ person working $1$ hr in $2$ days assemble $=\frac{2}{2\times 2}$
$1$ person working $1$ hr in $1$ day assemble $=\frac{2}{2\times 2\times 2}$
$6$ persons working $1$ hr in $1$ day assemble $=\frac{2\times 6}{2\times 2\times 2}$
$6$ persons working $6$ hours in $1$ day will assemble $=\frac{2\times 6\times 6}{2\times 2\times 2}$
$6$ persons working $6$ hrs in $6$ days will assemble
$=\frac{2\times 6\times 6\times 6}{2\times 2\times 2}$
$=54$ machines