Question

Question 8
Michael finished colouring a picture in $\frac{7}{12}$ hours. Vaibhav finished colouring the same picture in $\frac{3}{4}$ hour. Who worked longer? By what fraction was it longer?

Answer 1

$\text{Time taken by Michael to colour the picture}=\frac{\text{7}}{\text{12}}\text{hour}$
$\text{Time taken by Vaibhav to colour the picture}=\frac{\text{3}}{\text{4}}\text{hour}$
$\text{Converting both fractions in like fractions,}\frac{\text{7}}{\text{12}}and\frac{3\times 3}{4\times 3}=\frac{9}{12}\text{Here,}\frac{\text{7}}{\text{12}}<\frac{9}{12}\Rightarrow \frac{7}{12}<\frac{3}{4}$
$\text{Thus, Vaibhav worked longer time}\text{.}\text{Vaibhav worked longer time by}\frac{\text{3}}{\text{4}}-\frac{7}{12}=\frac{9-7}{12}=\frac{2}{12}=\frac{1}{6}\text{hour}$
$\text{Thus, Vaibhav took}\frac{\text{1}}{\text{6}}\text{hour more than Michael}$.