Question

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

• A. Alex
• B. Max
• C. Both will finish at the same time
• D. Data not sufficient

Answer 1

The correct option is B Max

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