Question

Jim completed half the floor in 9 hours Pete completed the other half of the floor in 5 hours of Pete can lay 35 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

`\bold{ 9x = (x+35)* 5 }`

Explanation:

Jim completed half of the floor in 9 hours.

Let the rate of Jim =
`x` tiles/hr

So, number of tiles that Jim lays in 9 hours = Rate of Jim multiplied by number of hours i.e.
`9 * x` ..... (1)

Let
`y` tiles/hr be the rate at which Pete lays the tiles.

As per the given question, Pete can lay 35 more tiles per hour than Jim.

i.e.
`\bold{ y =x+35}`

It is given that half of the floor is done by Jim and other half by Pete.

So, we can say that number of tiles for both of them are equal.

Number of tiles by Pete = Rate of Pete
`*` Number of hours =
`(x+35) * 5`...(2)

Now, we can equate the equations (1) and (2) because the number of tiles are same.

i.e.

The equation that we can use is:

`\bold{ 9x = (x+35)* 5 }`