Question

Angel and Alyssa were at track practice. The track is 2/5 km around. Angel ran 1 lap in 2 minutes. Alyssa ran 3 laps in 4 minutes. What distance (in kilometers) does Alyssa run in one minute?

a) 3/10 km
b) 1/5 km
c)3/20 km
d) 1/10 km

Answer 1

Alyssa runs a distance of 3/10 km in one minute.

Step-by-step explanation:

To find out the distance Alyssa runs in one minute, we first need to determine the time it takes for Alyssa to run one lap. We are given that Angel runs 1 lap in 2 minutes and Alyssa runs 3 laps in 4 minutes. So, Alyssa runs 3 laps in 4 minutes, which means she runs 1 lap in 4/3 minutes or 1 and 1/3 minutes.

Since the track is 2/5 km around, Alyssa runs 1 lap which is 2/5 km in 1 and 1/3 minutes. To find out the distance Alyssa runs in one minute, we can divide the distance by the time. So, Alyssa runs (2/5) / (4/3) km in one minute.

Simplifying the expression, we get (2/5) x (3/4) = 6/20 = 3/10 km.

Therefore, Alyssa runs a distance of 3/10 km in one minute.