Question

Starting at the same time, Mindy and Morgan began jogging around a quarter-mile track. Given their jogging rates, how long will it take Morgan to run a full lap more than Mindy?

a) They will finish simultaneously
b) Morgan will take 2 minutes more
c) Morgan will take 4 minutes more
d) Morgan will take 6 minutes more

Answer 1

Morgan will take 1 / (x - y) minutes to run a full lap more than Mindy.

Step-by-step explanation:

To determine how long it will take Morgan to run a full lap more than Mindy, we need to compare their jogging rates. If Morgan's jogging rate is faster than Mindy's, Morgan will finish a full lap before Mindy. Let's say Morgan's jogging rate is x laps per minute and Mindy's jogging rate is y laps per minute.

If Morgan finishes a full lap more than Mindy, then Morgan needs to run one lap more than Mindy's lap. So, the equation will be x * t = (y * t) + 1, where t is the time it takes for them to jog one lap.

Simplifying the equation, we get x * t = y * t + 1. Rearranging the equation, we have x * t - y * t = 1. Combining like terms, we get (x - y) * t = 1. Finally, solving for t, we have t = 1 / (x - y).

Therefore, it will take Morgan 1 / (x - y) minutes to run a full lap more than Mindy.