Question

It takes Harrison 1 1/2 hours to finish his history project it takes Miles 3 2/3 hours to finish his science project. How many times as long does it take Miles to finish his science project then it takes Harrison to finish his history project

Answer 1

Answer:  The answer is $2\dfrac{4}{9}~\textup{times}.$

Step-by-step explanation:  Given in the question that

Time taken by Harrison to finish his history project is given by

$t_1=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{hours}.$

and the time taken by Kiles to finish his science project is

$t_2=3\dfrac{2}{3}=\dfrac{11}{3}~\textup{miles}.$

Let the time taken by Miles to finish his science project be 'p' times that of the time taken by Harrison to finish his history project.

Therefore,

$t_2=p\times t_1\\\\\Rightarrow p=\dfrac{t_2}{t_1}=\dfrac{\frac{11}{3}}{\frac{3}{2}}=\dfrac{11}{3}\times \dfrac{2}{3}=\dfrac{22}{9}=2\dfrac{4}{9}.$

Thus, Miles take $2\dfrac{4}{9}$ times more time than Harrison.