Question

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

Answer 1

Step 1: Given data:

Given Jaidev takes $2\frac{1}{5}$minutes to walk across the school ground.

Rahul takes $\frac{7}{4}$minutes to walk across the school ground.

We know that $Improperfraction=\frac{Number\times Denominator+Numerator}{Denominator}$

The improper fraction of $2\frac{1}{5}$ is

$$\begin{gathered} 2\frac{1}{5}=\frac{2\times 5+1}{5} \\ =\frac{10+1}{5} \\ =\frac{11}{5} \end{gathered}$$

Step 2: To find Who takes less time and to find by what fraction of time he takes

Consider

$$\begin{gathered} \frac{11}{5}?\frac{7}{4} \\ 11\times 4?7\times 5 \\ 44?35 \\ 44>35 \end{gathered}$$

Since $35$ is less than $44$

Hence, Rahul takes less time to walk across the school ground.

Step 3: To find by what fraction of time he takes:

Now, we find who takes less time

Consider

$$\begin{gathered} \frac{11}{5}?-\frac{7}{4} \\ =\frac{11\times 4}{5\times 4}-\frac{7\times 5}{4\times 5} \\ =\frac{44}{20}-\frac{35}{20} \\ =\frac{44-35}{20} \\ =\frac{9}{20} \end{gathered}$$

Hence, Rahul takes less time to walk by $\frac{9}{20}$minutes.