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A cyclist travels at a speed of 30 km/h for 20 minutes, and then increases their speed to 50 km/h for the next 10 minutes. What is the total distance covered by the cyclist?
a)
25 km
b)
18.33 km
c)
14.33 km
d)
15 km?
Most Upvoted Answer
A cyclist travels at a speed of 30 km/h for 20 minutes, and then incre...
Understanding the Problem
To calculate the total distance covered by the cyclist, we need to determine the distance traveled during each segment of the journey.
Speed and Time Calculation
- First Segment:
- Speed = 30 km/h
- Time = 20 minutes = 20/60 hours = 1/3 hours
- Second Segment:
- Speed = 50 km/h
- Time = 10 minutes = 10/60 hours = 1/6 hours
Distance Formula
The formula to calculate distance is:
Distance = Speed x Time
Calculating Distances
- Distance for First Segment:
- Distance = 30 km/h x (1/3) hours = 10 km
- Distance for Second Segment:
- Distance = 50 km/h x (1/6) hours = 8.33 km
Total Distance Covered
- Total Distance = Distance from First Segment + Distance from Second Segment
- Total Distance = 10 km + 8.33 km = 18.33 km
Conclusion
The total distance covered by the cyclist is 18.33 km.
Therefore, the correct answer is b) 18.33 km.
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A cyclist travels at a speed of 30 km/h for 20 minutes, and then increases their speed to 50 km/h for the next 10 minutes. What is the total distance covered by the cyclist?a)25 kmb)18.33 kmc)14.33 kmd)15 km?
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