Question

If the total time taken in the given activities together is $\frac{20}{8}$ hours, then time take for cycling is hours.

• A. $\frac{7}{8}$
• B. $\frac{4}{8}$
• C. $\frac{9}{8}$

Answer 1

The correct option is B $\frac{4}{8}$

Let's convert all the fractions in the given table into equivalent fraction with denominator 8.

$\text{Time taken for bathing =}\frac{2}{4}\text{hrs}$
$⟹\frac{2}{4}\times \frac{2}{2}\text{=}\frac{4}{8}$

$\text{Time taken for cooking =}\frac{5}{8}\text{hrs}$

$\text{Time taken for eating =}\frac{1}{2}\text{hrs}$
$⟹\frac{1}{2}\times \frac{4}{4}\text{=}\frac{4}{8}$

$\text{Time taken for washing =}\frac{3}{8}\text{hrs}$

$\text{Total time taken =}\frac{20}{8}\text{hrs}$

$\text{Time taken for cycling will be:}$
$\text{=}\frac{20}{8}-\frac{4+5+4+3}{8}$

$=\frac{20}{8}$ - $\frac{16}{8}$

$=\frac{20-16}{8}$

$=\frac{4}{8}hrs$

$\text{Hence,}\frac{4}{8}hours\text{are taken for cycling.}$

$\text{Now let's mark all the points on a}$ $\text{line graph.}$