Question

In a 5 km marathon, Manish ran 2 km. If Kushagra ran $\frac{1}{2}$ of the total distance of the marathon, who ran more?

• A. Kushagra
• B. Manish
• C. Both covered the same distance
• D. Insufficient data

Answer 1

The correct option is A

Kushagra

Total distance to be covered = 5 km

Distance covered by Manish = 2 km

$\Rightarrow$ Fraction of the distance covered by Manish = $\frac{2}{5}$

Fraction of the distance covered by Kushagra =$\frac{1}{2}$

To compare these fractions, we write them as like fractions.

$\frac{2}{5}=\frac{2\times 2}{5\times 2}=\frac{4}{10}$

$\frac{1}{2}=\frac{1\times 5}{2\times 5}=\frac{5}{10}$


Since $\frac{4}{10}<\frac{5}{10}$,

$\frac{2}{5}<\frac{1}{2}$

Therefore, Kushagra ran more.