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 6 hours. Pete completed the other half of the floor in 5 hours. If Pete can lay 10 more tiles per hour than Jim, at what rate can Jim lay tiles?

ok so pete lays 10 more than jim per hour

pete and jim laid same amount of tiles

j=jim's rate
p=pete's rate

6j=5p

but pete lays 10 tile per hour faster so
p=10+j

sub
6j=5(10+j)
6j=50+5j
minus 5j both sides
j=50

jim can lay at 50 tiles per hour

Answer Link

AmitPaswan AmitPaswan · Answer 2 · 2022-06-29T11:01:45+02:00

The rate can Jim lay tiles is 50 per hour .

What is time and work relationship?

Time and work deals with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them

Work Done = Time Taken × Rate of Work.

Rate of Work = 1 / Time Taken

Time Taken = 1 / Rate of Work.

According to the question

You are remodeling your kitchen.

You've contacted two tiling companies

1st company : Jim completed half the floor in 6 hours.

2nd company: Pete completed the other half of the floor in 5 hours.

Pete can lay 10 more tiles per hour than Jim

Let rate of work for Jim = x

Now,

rate of work for Pete = x+10

Work done by Pete = 5(x+10)

Work done by JIm = 6x

As work done by both is equal which is 1/2 floor

Therefore,

Work done by JIm = Work done by Pete

6x = 5(x+10)

6x = 5x +50

x = 50

So,

rate of work for Jim = 50

rate of work for Pete = 60

Hence, The rate can Jim lay tiles is 50 per hour .

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https://brainly.com/question/3854047

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