A cyclist travels 35 km in 2 hours, then travels another 40 km in 3 hours.

What is the cyclist’s average speed for the entire trip?

A.15 km/hr

B.38 km/hr

C.50 km/hr

D.75 km/hr


The average speed for a trip is calculated using the formula:

\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]

1. **Total distance**: 
   The cyclist travels 35 km in the first part of the trip and 40 km in the second part. 
   \[
   \text{Total Distance} = 35 \, \text{km} + 40 \, \text{km} = 75 \, \text{km}
   \]

2. **Total time**: 
   The cyclist takes 2 hours for the first part and 3 hours for the second part.
   \[
   \text{Total Time} = 2 \, \text{hours} + 3 \, \text{hours} = 5 \, \text{hours}
   \]

Now, calculate the average speed:
\[
\text{Average Speed} = \frac{75 \, \text{km}}{5 \, \text{hours}} = 15 \, \text{km/hr}
\]

Thus, the cyclist's average speed for the entire trip is **15 km/hr**.

The correct answer is **A. 15 km/hr**.

Would you like more details on any part of the solution?

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Here are 5 related questions to deepen understanding:

1. If the cyclist traveled 60 km in 4 hours, what would the average speed be?
2. What is the formula for calculating average speed when given different distances and times?
3. How would the average speed change if the cyclist traveled the same distance in less time?
4. If the cyclist had stopped for a break for 30 minutes, how would that affect the average speed?
5. How can we calculate the instantaneous speed at any point in time?

**Tip:** Average speed considers the entire journey and doesn’t depend on variations in speed during the trip.

A cyclist travels 35 km in 2 hours, then travels another 40 km in 3 hours. What is the cyclist’s average speed for the entire trip?
A. 15 km/hr
B. 38 km/hr
C. 50 km/hr
D. 75 km/hr

Find out how to calculate the average speed of a cyclist traveling 35 km in 2 hours and 40 km in 3 hours. This detailed solution uses the formula for average speed and covers key arithmetic concepts, making it suitable for Grades 5-7.

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