A cyclist covers 120 meters in 16 seconds on a straight road, then immediately covers 180 meters in 24 seconds on a similar road segment. What is the average speed of the cyclist during the entire journey?
7.5 meters per second
To find the average speed of the cyclist for the entire journey, we need to calculate the total distance covered and the total time taken. Then, the average speed can be computed using the formula:
\(\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)
Step 1: Calculate the Total Distance
- The cyclist covers 120 meters in the first segment.
- The cyclist covers 180 meters in the second segment.
Total Distance = 120 meters + 180 meters = 300 meters
Step 2: Calculate the Total Time
- The time taken to cover the first segment is 16 seconds.
- The time taken to cover the second segment is 24 seconds.
Total Time = 16 seconds + 24 seconds = 40 seconds
Step 3: Calculate the Average Speed
Using the formula for average speed:
\(\text{Average Speed} = \frac{300 \text{ meters}}{40 \text{ seconds}} = 7.5 \text{ meters per second}\)
Therefore, the average speed of the cyclist during the entire journey is 7.5 meters per second.
This concludes the explanation, justifying that the correct option is indeed 7.5 meters per second.
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