Question

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Gordon and Erik got in trouble at football practice and have to run laps as a consequence. Gordon, who runs at a rate of 1 lap per minute, had completed 5 laps already when he was joined on the track by Erik. Erik's pace is 2 laps per minute. At some point, the two will have run the same distance. How long will that take? How many laps will each boy have run?
After____minutes, Gordon and Erik will each have run_____laps.

Answer 1

After 5 minutes, Gordon and Erik will each have run 10 laps

Explanation:

Gordon already completed 5 laps and each lap is completed in 1 minute

5 + 5 = 10

Eric completes a lap in 2 minutes

2 x 5 = 10

So after 5 minutes, Gordon and Erik will each have run 10 laps

Hope you get this right :)

Answer 2

After 5 minutes, Gordon and Erik will each have run 10 laps

Explanation:

Let L =lap, M=minute, G=gordon, E=Eric

G=(1L*M)+5

E=(2L*M)+5