Question

Tyler is running behind Nicole, who began 3.0 meters ahead of Tyler. At the end of 30.0 minutes, Nicole is 11.0 meters ahead of Tyler. Assuming they run at a constant speed, by what factor is Nicole running faster than Tyler?

a) Nicole is running 30/11 meters per minute faster than Tyler.
b) Nicole is running 30/8 meters per minute faster than Tyler.
c) Nicole is running 30/5 meters per minute faster than Tyler.
d) Nicole is running 30/3 meters per minute faster than Tyler.

Answer 1

Nicole is running 30/11 meters per minute faster than Tyler.

Step-by-step explanation:

To determine the factor by which Nicole is running faster than Tyler, we need to calculate the difference in distance covered by both runners in the given time period.

According to the information given, Tyler started 3.0 meters behind Nicole and at the end of 30.0 minutes, Nicole is 11.0 meters ahead of Tyler.

This means that Tyler has covered a distance of 14.0 meters in 30.0 minutes (11.0 + 3.0 = 14.0).

To calculate Nicole's speed compared to Tyler, we can divide the distance covered by the time taken. Nicole has covered a distance of 11.0 meters in 30.0 minutes, so her speed is 11.0/30.0 meters per minute.

To determine the factor by which Nicole is running faster, we divide Nicole's speed by Tyler's speed. So, the correct answer is a) Nicole is running 30/11 meters per minute faster than Tyler.