Question

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 12 hours. Pete completed the other half of the
floor in 10 hours. If Pete can lay 25 more tiles per hour than Jim, what
equation would you use to find the rate that Jim can lay tiles? Let x represent
Jim's rate.

Answer 1

12x=10(25+x)

Explanation:

Jim's rate=x

Pete's rate=y

Jim and Pete lays the same number of tiles.

So we have,

12x=10y

Pete's can lay 25 more tiles than Jim per hour

We have

y=25+x

Substitute y=25+x into 12x=10y

12x=10y

12x=10(25+x)

12x=250+10x

12x-10x=250

2x=250

x=250/2

=125

x=125

12x=10(25+x) is the equation used to find the rate that Jim can lay tiles