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(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(1)/(2)=(3)/(2)~\textup{hours}.`

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

`t_2=3(2)/(3)=(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* t_1\\\\\Rightarrow p=(t_2)/(t_1)=((11)/(3))/((3)/(2))=(11)/(3)* (2)/(3)=(22)/(9)=2(4)/(9).`

Thus, Miles take
`2(4)/(9)` times more time than Harrison.