Question

Ayala and Sam were partners on a science project. Ayala. Spent 2 3/4 hours working on the project. Sam spent 1 3/4 hours working on the project. How long did they work altogether?

Answer 1

Answer: The answer is
`4(1)/(2)~\textup{hours}.`

Step-by-step explanation: Given that in a science project, Ayala and Sam were partners. They both spent different duration of time to complete the project as follows -

Time spent by Ayala on the project is

`t_A=2(3)/(4)=(11)/(4)~\textup{hours},`

and time spent by Sam on the project is

`t_S=1(3)/(4)=(7)/(4)~\textup{hours}.`

Therefore, the time spent by Ayala and Sam altogether is given by

`T=t_A+t_S=(11)/(4)+(7)/(4)=(18)/(4)=(9)/(2)=4(1)/(2)~\textup{hours}.`

Thus, they work altogether for
`4(1)/(2)~\textup{hours}.`