Question

Ram takes $5\frac{1}{2}$ minutes to reach office, whereas Raghu takes $3\frac{2}{3}$ minutes. What is the difference in time taken by the two?

• A. $\frac{5}{3}$
• B. $\frac{11}{3}$
• C. $\frac{11}{6}$
• D. $\frac{5}{2}$

Answer 1

The correct option is C $\frac{11}{6}$

Let us first convert the mixed fractions $3\frac{2}{3}$ and $5\frac{1}{2}$ into improper fractions.

$3\frac{2}{3}=\frac{(3\times 3)+2}{3}=\frac{11}{3}$

$\text{and}5\frac{1}{2}=\frac{(5\times 2)+1}{2}=\frac{11}{2}$

Now, difference in time taken by Ram and Raghu to reach office is given by $5\frac{1}{2}-3\frac{2}{3}.$

$\text{Now,}5\frac{1}{2}-3\frac{2}{3}=\frac{11}{2}-\frac{11}{3}$

$=\frac{11\times 3}{2\times 3}-\frac{11\times 2}{3\times 2}$

$=\frac{33}{6}-\frac{22}{6}$

$=\frac{(33-22)}{6}=\frac{11}{6}$

Thus, the difference in time taken by Ram and Raghu to reach office is $\frac{11}{6}$ minutes.