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?

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02-10-2018
Mathematics

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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?

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ColinJacobus ColinJacobus · Answer 1 · 2019-02-01T06:08:46+01:00

Answer: The answer is [tex]4\dfrac{1}{2}~\textup{hours}.[/tex]

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

[tex]t_A=2\dfrac{3}{4}=\dfrac{11}{4}~\textup{hours},[/tex]

and time spent by Sam on the project is

[tex]t_S=1\dfrac{3}{4}=\dfrac{7}{4}~\textup{hours}.[/tex]

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

[tex]T=t_A+t_S=\dfrac{11}{4}+\dfrac{7}{4}=\dfrac{18}{4}=\dfrac{9}{2}=4\dfrac{1}{2}~\textup{hours}.[/tex]

Thus, they work altogether for [tex]4\dfrac{1}{2}~\textup{hours}.[/tex]