Question

Alex can eat $\frac{1}{4}$ of a pie in $1$ hour. Max can finish $\frac{1}{2}$ of it at the same time, who will finish eating the whole pie first?

Answer 1

Portion of the pie eaten by Alex in $1$ hour $=\frac{1}{4}=25\%$

$25\%$ eaten in $1$ hour, so $100\%$ will be eaten in $1\times 4$ hours.
$=\frac{1\times 4}{1}$
$=4$ hours

Portion of the pie eaten by Max in $1$ hour $=\frac{1}{2}$

$50\%$ percent eaten in $1$ hour, so $100\%$ percent will be eaten in $1\times 2$ hours.
$=\frac{1\times 2}{1}$
$=2$ hours

Total time taken by Alex to eat the whole pie = 4 hours
Total time taken by Max to eat the whole pie = 2 hours
$\therefore$ Max will finish eating his pie first.