Questions: While you are in a bus that moves at 100 km/h, you walk from the back to the front at 10 km/h. What is your speed relative to the road outside?
110 km/h
90 km/h
100 km/h
10 km/h
Transcript text: While you are in a bus that moves at $100 \mathrm{~km} / \mathrm{h}$, you walk from the back to the front at $10 \mathrm{~km} / \mathrm{h}$. What is yqur speed relative to the road outside?
View Available Hint(s)
$110 \mathrm{~km} / \mathrm{h}$.
$90 \mathrm{~km} / \mathrm{h}$
$100 \mathrm{~km} / \mathrm{h}$
$10 \mathrm{~km} / \mathrm{h}$
Solution
Solution Steps
Step 1: Understand the Problem
We need to determine the speed of a person relative to the road outside while they are walking inside a moving bus. The bus is moving at \(100 \, \text{km/h}\) and the person is walking from the back to the front at \(10 \, \text{km/h}\).
Step 2: Relative Speed Calculation
To find the person's speed relative to the road, we need to add the speed of the bus and the speed of the person walking inside the bus. This is because the person is moving in the same direction as the bus.
Step 3: Perform the Addition
The speed of the bus is \(100 \, \text{km/h}\) and the speed of the person walking is \(10 \, \text{km/h}\). Therefore, the total speed relative to the road is:
\[
100 \, \text{km/h} + 10 \, \text{km/h} = 110 \, \text{km/h}
\]