Question

Tabitha works at a rate of 1 unit every 10 hours. Working together with a coworker, it only takes 5.24 hours to make 1 unit. Which of the following models is a rational equation that could determine the rate at which the coworker produces units?(1 point)

110+1x=15.24


15.24+110=1x


15.24+1x=110


x10=15.24

Answer 1

Let x be the coworker’s time (hours) to make 1 unit. Then Tabitha’s rate is 1/10 and the coworker’s rate is 1/x, and together their rate is 1/5.24, so

1/10 + 1/x = 1/5.24.

This corresponds to the first choice (written without the slashes): 110+1x=15.24.