Mathematics, 22.06.2019 13:00 primmprincess312

It takes 6363 minutes for 44 people to paint 99 walls. how many minutes does it take 77 people to paint 44 walls?

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The things you can apply to complete this job is workers and time. The job being accomplished is painted walls.

This problem defines two jobs. The rate for each of the jobs will be the same. The first job rate is:

R=(7 wkr)•(42 min)/(6 walls)
R= 49 wkr-min/walls

or 49 worker-minutes per wall. This means one worker can paint one wall in 49 minutes.
If you think about this job if 7 workers take 42 minutes to do 6 walls it will only take them 7 minutes to do one wall. And it will take one person 7 times as long to do a job as 7 people working together.

This first job rate equals the second job rate

R=(8 wkr)•(t )/(8 walls)
R=1 t wkr/wall

where t is the time to do the second job.

Setting the two rates equal to each other and solving for t.

t=49 minutes

It makes sense if one worker can paint one wall in 49 minutes then 8 workers can paint 8 walls in the same time.

Answer from: Quest

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Answer from: Quest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

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It takes 6363 minutes for 44 people to paint 99 walls. how many minutes does it take 77 people to pa...