You are remodeling your kitchen. you've contacted two tiling companies who gladly told you how long it took their workers to tile a floor of a similar size. jim completed half the floor in 8 hours. pete completed the other half of the floor in 7 hours. if pete can lay 20 more tiles per hour than jim, at what rate can jim lay tiles?

140 tiles per hour.

Step-by-step explanation:

1. Let's call:

j: Jim's rate.

p: Pete's rate.

2. You know that Jim completed half the floor in 8 hours and Pete completed the other half of the floor in 7 hours, therefore:

3. The problem says that Pete can lay 20 more tiles per hour than Jim, this means that:

4. Substitute the second expression into the first expression and solve for :

5. The answer is: Jim can lay 140 tiles per hour.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the height of the surface increases from the center out to the sides of the road

it is c!