Question

Ram takes $3\frac{1}{5}$ minutes to walk around the school ground. Harish takes $\frac{26}{4}$ minutes to do the same. What is the difference in the time taken by the two?

• A. $\frac{66}{20}$
• B. $\frac{38}{20}$
• C. $\frac{33}{10}$
• D. $\frac{19}{10}$

Answer 1

Answer: (A), (C)

The correct options are
A $\frac{66}{20}$
C $\frac{33}{10}$

Time taken by Ram $=3\frac{1}{5}$ minutes
=$\frac{5\times 3+1}{5}\text{minutes}$
=$\frac{16}{5}\text{minutes}$
And, time taken by Harish $=\frac{26}{4}\text{minutes}$

Now, $\frac{16}{5}$ and $\frac{26}{4}$ are unlike fractions. We need to convert them into equivalent fractions with denominator 20.
$\frac{16\times 4}{5\times 4}=\frac{64}{20}$

$\frac{26\times 5}{4\times 5}=\frac{130}{20}$

$\frac{130}{20}-\frac{64}{20}=\frac{66}{20}=\frac{\frac{66}{2}}{\frac{20}{2}}=\frac{33}{10}$
Thus, the difference in time = $\frac{33}{10}=\frac{66}{20}$ minutes