Question

Kim solves math equations at the rate of .75 problems per minute. Jill solves math equations at the rate of .5 problems per minute, and has already solved 2 equations. The equations that represent this situation are the following:

y = .75x

y = .5x + 2


where x represents the minutes, and y represents the number of equations solved. After how much time have they solved the same number of equations?
8 minutes
8 minutes

6 minutes
6 minutes

1.6 minutes
1.6 minutes

2 minutes

Answer 1

8 minutes

Explanation:

since y represents the number of equations solved, and since the question requires that you find the time when they both solved the same equations

y = y

0.75x = 0.5x + 2

0.75x - 0.5x = 2

0.25x = 2

x = 2/0.25

x = 8