Imani can pick forty bushels of apples in 15 hours. bill can pick the same amount in 13 hours. find how long it would take them if they worked together.

6.96 hours.

Step-by-step explanation:

First, we need to find out the hour rate of bushels picked for each of them.

If Imani can pick 40 bushels in 15 hours, then he picks 40/15 = 8/3 bushes per hour.

If Bill can pick 40 bushels in 13 hours, then he picks 40/13 bushes per hour.

Working together, they pick: bushes per hour.

Let's simplify this expression:

= 5.74

Now we can use a rule of three

1 hour -------5.74

x hours ------40

Then,

x = 40 / 5.74 = 6.96

Therefore, it would take them 6.96 hours working together.

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'.