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 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(x+25)

Explanation:

apex

Answer 2

As given, let Jim's rate = x

Let Pete's rate =y

Jim completed half the floor in 12 hours so it's
`12* rate`= 12x

Pete completed the other half of the floor in 10 hours so its
`10* rate`=10y

As floor area is equal so,

`12x=10y` .............(1)

Now, given is that Pete can lay 25 more tiles per hour than Jim, this gives=

`y=x+25` ...... (2)

Putting the value of y from equation (2) in equation (1) , we get

`12x=10(x+25)`

So, the equation is :
`12x=10(x+25)`

If you want to solve it, it becomes:

`12x=10x+250`

`2x=250`

`x=125`

Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.