Question

Gabrielle rides her bicycle from home to school. For the first 5 minutes, she rides at a speed of 200 m/min, and then she changes the speed to 300 m/min for next 10 minutes. If she is still 180 m away from school, what is the distance between Gabrielle's home and school?

Answer 1

Gabrielle traveled a total distance of 3820 m from her home to school.

Step-by-step explanation:

To find the distance between Gabrielle's home and school, we need to calculate the total distance she traveled. First, let's calculate the distance she traveled in the first 5 minutes at a speed of 200 m/min:

Distance = Speed × Time

Distance = 200 m/min × 5 min = 1000 m

Next, let's calculate the distance she traveled in the next 10 minutes at a speed of 300 m/min:

Distance = Speed × Time

Distance = 300 m/min × 10 min = 3000 m

The total distance traveled is the sum of the distances in the first 5 minutes and the next 10 minutes:

Total Distance = 1000 m + 3000 m = 4000 m

Since she is still 180 m away from school, the distance between Gabrielle's home and school is 4000 m - 180 m = 3820 m.