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 the next 10 minutes. If she is still 180 m away from school, what is the distance between Gabrielle's home and school?

a) 2,400 meters
b) 2,700 meters
c) 3,000 meters
d) 3,300 meters

Answer 1

The total distance between Gabrielle's home and school is calculated by adding the distances she covers at each speed plus the remaining distance. After the calculation, it's found to be 4180 meters, which does not match any provided answer choices.

Step-by-step explanation:

To find the total distance between Gabrielle's home and school, we need to calculate the distance she travels with each speed and then sum these distances together.

• For the first 5 minutes at 200 m/min: Distance = Speed × Time = 200 m/min × 5 min = 1000 m
• For the next 10 minutes at 300 m/min: Distance = Speed × Time = 300 m/min × 10 min = 3000 m

Now, we add the distances together and include the remaining 180 m she is away from school.

Total distance = 1000 m + 3000 m + 180 m = 4180 m

Therefore, the distance between Gabrielle's home and school is 4180 meters, which is not an answer choice so there may be a mistake in the choices provided.