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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?

Verified Answer :

apologiabiology

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

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 .

To know more about time and work relationship here:

https://brainly.com/question/3854047

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