To determine which option is faster, you can calculate the speed for each scenario using the formula:
Speed (in kilometers per hour) = Distance (in kilometers) / Time (in hours)
1. For the first scenario: 4 kilometers in 1/10 hour
Speed = 4 km / (1/10) hour = 4 km / 0.1 hour = 40 kilometers per hour
2. For the second scenario: 5 kilometers in 1/4 hour
Speed = 5 km / (1/4) hour = 5 km / 0.25 hour = 20 kilometers per hour
Now, comparing the speeds:
- In the first scenario, the speed is 40 kilometers per hour.
- In the second scenario, the speed is 20 kilometers per hour.
So, the first scenario (4 kilometers in 1/10 hour) is faster because the speed is 40 kilometers per hour, while the second scenario (5 kilometers in 1/4 hour) has a speed of 20 kilometers per hour.