The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. by what percent must the number of workers be increased in order for the work to be completed in time, as it was scheduled originally?

 28 %

Step-by-step explanation:

Volume of a work = productivity × time × number of workers

Let V be the initial volume of the work , x is the initial productivity , n is the initial time and w be the initial number of workers.

Then, V = x × t × n ------ (1)

When, the volume of construction work was increased by 60%, productivity of labor increased by only 25% and time remains same,

Let w' be the new number of workers,

Then, 1.6 V = 1.25 x × t × n' -------(2)

After dividing equation (2) by equation (1),

We get,

Which is the new number of workers.

Thus, the percentage increase in the number of workers =

⇒The number of workers is increased by 28%.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

i think the answer is b