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

Find out who takes less time to walk :

Given,

Time taken by Jaidev to walk across the school ground $=2\frac{1}{5}=\frac{11}{5}$ minutes

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

Now, we will convert the given fractions into like fractions,

Time taken by Jaidev: $\frac{11}{5}=\frac{11}{5}\times \frac{4}{4}=\frac{44}{20}$

And, Time taken by Rahul: $\frac{7}{4}=\frac{7}{4}\times \frac{5}{5}=\frac{35}{20}$

It is clear that,$\frac{44}{20}>\frac{35}{20}$

So, Rahul takes less time than Jaidev

Difference $=\frac{44}{20}-\frac{35}{20}=\frac{9}{20}$

Hence, Rahul walks across the school ground by $\frac{9}{20}$ minutes faster than Jaidev.