a worker A finishes a project on his own in 12 days. the worker completes the same work alone in 16 days. the two workers started working together, but after 3 days A leaves and B. continues on his own. How many days will B need to finish the rest of the work?

Worker B needs 9 days to finish the rest of the work

Step-by-step explanation:

Proportions

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

After 3 days they have completed:

parts of the project, this means it still remains:

parts of the project and it is done by B alone. Since B does per day, he now takes

days to complete the project.

Worker B needs 9 days to finish the rest of the work

do i do it on a graph?

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c