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 2.5hours in order to tie Lionel's record.

670 = ____________

What speed (in square feet per hour) would Samara need to average during the remaining 2.5 hours to tie Lionel's record?

Samara would need to average ________ square feet per hour.

Answer 1

Lionel's average speed is: 670/9.5 = 70.53 m²/hr

x = the average speed Samara would need to maintain during the remaining 2.5 hours in order to tie Lionel's record

This means that in 2.5 hours Samar will make: 2.5x square meters carpet

Since Samara needs to tie Lionel's records we can write:

(330 + 2.5x) / 7 + 2.5) = 70.53

(330 + 2.5x) / 9.5 = 70.53

(330 + 2.5x) = 670

2.5x = 340

x = 136 m²/hr

During the remaining 2.5 hours Samara needs to average 136 square meters per hour.