Question

Jaidev takes $2\frac{1}{5}$ minutes to walk across the school ground. Rahul takes $\frac{7}{4}$ minutes to do the same. who takes less time and by what fraction?

Answer 1

Time taken by Jaidev to walk $=2\frac{1}{5}$ minutes

$=\frac{11}{5}$ minutes

Time taken by Rahul to walk across the ground $=\frac{7}{4}$ minutes

Now, compare the fractions

$\frac{11}{5}$

$=\frac{11\times 4}{5\times 4}$

$=\frac{44}{20}$

$\frac{7}{4}$

$=\frac{7\times 5}{4\times 5}$

$=\frac{35}{20}$

$\frac{44}{20}>\frac{35}{20}$

$\Rightarrow \frac{7}{4}<\frac{11}{5}$

So, Rahul takes lesser time than Jaidev.

Difference $=\frac{11}{5}-\frac{7}{4}$

$=\frac{11\times 4}{5\times 4}-\frac{7\times 5}{4\times 5}$

$=\frac{44}{20}-\frac{35}{20}$

$=\frac{9}{20}$

So, Rahul takes lesser time than Jaidev, by $\frac{9}{20}$ minutes.