The problem asks us to determine the total distance traveled by Levi on his motorbike based on the given distance-time graph. The answer should be in kilometers.

Applied MathematicsDistanceTimeGraphsMotion
2025/5/12

1. Problem Description

The problem asks us to determine the total distance traveled by Levi on his motorbike based on the given distance-time graph. The answer should be in kilometers.

2. Solution Steps

The graph shows Levi's distance from home over time.
From the graph, we can see:
- Levi travels away from home from time 0 to 30 minutes. During this time, the distance increases from 0 km to 35 km. So, the distance traveled away from home is 35 km.
- Levi stays at the same distance from home (35 km) from 30 minutes to 40 minutes. So, he doesn't travel any distance during this time.
- Levi travels back home from 40 minutes to 60 minutes. During this time, the distance from home decreases from 35 km to 0 km. So, the distance traveled back home is 35 km.
The total distance traveled is the sum of the distance traveled away from home and the distance traveled back home.
Total distance = Distance away from home + Distance back home
Total distance = 35 km+35 km=70 km35 \text{ km} + 35 \text{ km} = 70 \text{ km}

3. Final Answer

70 km

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