Question

On a construction crew, Lionel set the crew record for laying tile when he laid 670 square feet of tile in 9.5 hours. Suppose Samara laid 330 square feet of tile in 7 hours. Complete the equation to model this situation where x is the average speed Samara would need to maintain during the remaining 2.5 hours in order to tie Lionel's record.

Answer 1

To tie Lionel's record, Samara needs to lay tile at an average speed of 136 square feet per hour during the remaining 2.5 hours.

Step-by-step explanation:

Lionel set a construction crew record for laying 670 square feet of tile in 9.5 hours. To tie Lionel's record, Samara, who has already laid 330 square feet of tile in 7 hours, needs to determine the speed at which she must work during the remaining 2.5 hours. The equation to model Samara's situation in which x is the average speed (in square feet per hour) she needs to maintain to tie the record will include the tile she has already laid plus the tile she will lay in the remaining hours. So, the equation is:

330 + 2.5x = 670

Subtract 330 from both sides to isolate the term with x:

2.5x = 670 - 330

2.5x = 340

Now, divide both sides by 2.5 to solve for x:

x = 340 / 2.5

x = 136

Therefore, Samara needs to lay tile at an average speed of 136 square feet per hour during the remaining 2.5 hours to tie Lionel's record.