A train is traveling west at 35 km/h on a track that is parallel to a roadway. A person in a truck is also traveling west at a speed of 15 km/h. How fast is the train traveling as perceived by the person in the truck?




A.5 km/h

B.20 km/h

C.35 km/h

D.50 km/h


To determine how fast the train is traveling as perceived by the person in the truck, we need to calculate the **relative speed** of the train with respect to the truck.

### Key Information:
- The train is traveling west at 35 km/h.
- The truck is also traveling west at 15 km/h.

Since both the train and the truck are moving in the same direction, the relative speed is found by subtracting the truck's speed from the train's speed:

\[
\text{Relative speed} = \text{Train's speed} - \text{Truck's speed} 
\]
\[
\text{Relative speed} = 35 \text{ km/h} - 15 \text{ km/h} = 20 \text{ km/h}
\]

So, the speed of the train as perceived by the person in the truck is:

**B. 20 km/h**

Would you like further clarification on relative velocity or have any questions?

Here are 5 related questions to explore:
1. What would be the relative speed if the truck were traveling east at 15 km/h?
2. How would the relative speed change if the truck increased its speed to 30 km/h?
3. What is the relative velocity formula for two objects moving in opposite directions?
4. How does the concept of relative speed apply to airplanes moving in the same direction in the sky?
5. What would the perceived speed be if the truck was stationary?

**Tip:** When two objects move in the same direction, their relative speed is the difference in their speeds. If they move in opposite directions, their relative speed is the sum of their speeds.

Discover how to calculate the speed of a train relative to a truck moving in the same direction. This math problem involves understanding relative motion and applying the relative speed formula. Suitable for Grades 9-12.

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