Question

Marcus bikes 1000 meters from his home to the grocery store in 2 minutes. Then, he bikes another 1000 meters back home in another 2.5 minutes. What was the average speed, in meters per second rounded to the nearest hundredth, of Marcus's trip to and from the grocery store?

A.
6.67 meters per second

B.
7.14 meters per second

C.
7.69 meters per second

D.
7.41 meters per second

Answer 1

To calculate the average speed for Marcus's entire trip to and from the grocery store, we first need to determine the total distance traveled and the total time taken.

1. **Total Distance:**
- Distance to the grocery store = 1000 meters
- Distance back home = 1000 meters
- Total distance = 1000 meters + 1000 meters = 2000 meters

2. **Total Time:**
- Time to the grocery store = 2 minutes = 2 * 60 seconds = 120 seconds
- Time back home = 2.5 minutes = 2.5 * 60 seconds = 150 seconds
- Total time = 120 seconds + 150 seconds = 270 seconds

3. **Average Speed:**
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{2000 \text{ meters}}{270 \text{ seconds}} \approx 7.407407 \text{ meters per second}
\]

Rounding this to the nearest hundredth yields 7.41 meters per second.

Thus, the correct answer is:
**D. 7.41 meters per second**.