Question

The table below shows the distance (in units) covered by 6 people.
Rosy covered three times the distance covered by all 6 people.
Calculate the distance covered by Rosy.

• A. $\frac{96}{8}\text{units}$
• B. $\frac{84}{8}\text{units}$
• C. $\frac{92}{8}\text{units}$
• D. $\frac{70}{8}\text{units}$

Answer 1

The correct option is A $\frac{96}{8}\text{units}$

First of all, let's convert all the mixed fractions to improper fraction with denominator 4.

$1\frac{2}{8}$ $\text{= 1 +}\frac{2}{8}\text{=}\frac{8}{8}\text{+}\frac{2}{8}\text{=}\frac{10}{8}$

$1\frac{1}{8}$ $\text{= 1 +}\frac{1}{8}\text{=}\frac{8}{8}\text{+}\frac{1}{8}\text{=}\frac{9}{8}$

Now, calculate the total time taken by all the people given in the table:

$⟹\frac{2}{8}+\frac{4}{8}+\frac{10}{8}+\frac{3}{8}+\frac{9}{8}+\frac{4}{8}$

$⟹\frac{2+4+10+3+9+4}{8}$

$⟹\frac{32}{8}\text{units}$

Now, Rosy covered three times the distance covered by all 6 people.

Hence, multiply 3 with the total distance calculated above.

Distance covered by Rosy
$\text{= 3}\times \frac{32}{8}$

$\text{=}\frac{3\times 32}{8}$

$\text{=}\frac{96}{8}\text{units}$

$\text{Thus, Rosy covered}\frac{96}{8}\text{units of distance.}$