One person can do a certain job in fifteen minutes, and another person can do the same job in ten minutes. how many minutes will they take to do the job together?

They will take 6 minutes to do the job together.

Step-by-step explanation:

Consider the provided information.

It is given that the time taken by one person to do a job is 15 minutes.

The time taken by another person to do the same job is 10 minutes.

Let T represent the time taken when they both work together.

Therefore the required equation is:

Hence, they will take 6 minutes to do the job together.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4