Answer:
a. Tim has completed a greater amount of work.
b. Together they have completed [tex]\frac{142}{143}[/tex] part of two projects.
Step-by-step explanation:
Let us assume that the project on which Jaime and Tim are working has x amount of space.
Now, given that Jaime has 5 over 11 space of a project completed while Tim has finished 7 over 13 space of the same project.
Therefore, Jaime has completed [tex]\frac{5x}{11}[/tex] amount of space and Tim has finished [tex]\frac{7x}{13}[/tex] amount of space.
a. Now, (7x) \times 11 > (5x) \times 13
⇒ [tex]\frac{7x}{13} > \frac{5x}{11}[/tex]
Therefore, Tim has completed the greater amount of work. (Answer)
b. Together they have completed [tex](\frac{7x}{13} + \frac{5x}{11}) = \frac{(7 \times 11 + 5 \times 13)}{13 \times 11} x = \frac{142}{143}x[/tex] amount of space out of 2x amount of space. (Answer)
