alberto left the airport and drove toward the train station.one hour later  Eduardo left driving at 55km/h in an effort to catch up to alberto.after driving for four hours eduardo finally caught up.what was albertos average speed 

Let's denote:
- \( v \) as Alberto's average speed (in km/h).
- The time Alberto drove before Eduardo caught up is 5 hours, since Alberto had a 1-hour head start and Eduardo drove for 4 hours.

During this time, Eduardo drove a distance of:
\[
d_{\text{Eduardo}} = 55 \times 4 = 220 \text{ km}
\]
Since Eduardo caught up with Alberto, the distance Alberto traveled is also 220 km.

Now, the time Alberto spent driving is 5 hours, so using the formula \( \text{distance} = \text{speed} \times \text{time} \), we can set up the equation:
\[
220 = v \times 5
\]

Solving for \( v \):
\[
v = \frac{220}{5} = 44 \, \text{km/h}
\]

Therefore, Alberto's average speed was **44 km/h**.

Would you like further explanation or have any other questions?

Here are 5 related questions to expand on this topic:
1. What if Eduardo had driven at 60 km/h? How long would it take him to catch up?
2. If Alberto increased his speed by 10 km/h after the first hour, how would this affect the time it took for Eduardo to catch up?
3. How far would Alberto have traveled after 3 hours at this speed?
4. What is the formula for determining when two people meet if one has a head start?
5. How does the relative speed of two objects affect the time it takes for one to catch up?

**Tip:** When solving catch-up problems, always focus on the relationship between time, speed, and distance for both participants.

alberto left the airport and drove toward the train station.one hour later Eduardo left driving at 55km/h in an effort to catch up to alberto.after driving for four hours eduardo finally caught up.what was albertos average speed

Learn how to calculate Alberto's average speed in a catch-up problem where Eduardo drives at 55 km/h and catches up after 4 hours. This problem covers key concepts in algebra and the distance-speed-time relationship. Suitable for students in Grades 6-8.

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