Question

Jaime has 5 over 11 spaceof a project completed while Tim has finished 7 over 13 spaceof the same project.

a. Who has completed the greater amount of work?

Please help me
b. How much of the project have they completed together? Show your work.

Answer 1

a. Tim has completed a greater amount of work.

b. Together they have completed
`(142)/(143)` 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
`(5x)/(11)` amount of space and Tim has finished
`(7x)/(13)` amount of space.

a. Now, (7x) \times 11 > (5x) \times 13

⇒
`(7x)/(13) > (5x)/(11)`

Therefore, Tim has completed the greater amount of work. (Answer)

b. Together they have completed
`((7x)/(13) + (5x)/(11)) = ((7 * 11 + 5 * 13))/(13 * 11) x = (142)/(143)x` amount of space out of 2x amount of space. (Answer)