Grade 7 Exam > Grade 7 Questions > A cyclist travels at a speed of 30 km/h for 2...
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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
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A cyclist travels at a speed of 30 km/h for 20 minutes, and then incre...
Most Upvoted Answer
A cyclist travels at a speed of 30 km/h for 20 minutes, and then incre...
Understanding the Problem
To determine the total distance covered by the cyclist, we need to calculate the distance traveled during each segment of the journey separately and then sum them.
Calculating the Distance for Each Segment
1. First Segment:
- Speed: 30 km/h
- Time: 20 minutes
Convert 20 minutes into hours:
20 minutes = 20/60 hours = 1/3 hours
Use the formula for distance:
Distance = Speed × Time
Distance = 30 km/h × (1/3) h = 10 km
2. Second Segment:
- Speed: 50 km/h
- Time: 10 minutes
Convert 10 minutes into hours:
10 minutes = 10/60 hours = 1/6 hours
Again, use the distance formula:
Distance = Speed × Time
Distance = 50 km/h × (1/6) h = 8.33 km
Calculating Total Distance
- Total Distance:
Total Distance = Distance from First Segment + Distance from Second Segment
Total Distance = 10 km + 8.33 km = 18.33 km
Final Result
Thus, the total distance covered by the cyclist is 18.33 km, which corresponds to option B.
To determine the total distance covered by the cyclist, we need to calculate the distance traveled during each segment of the journey separately and then sum them.
Calculating the Distance for Each Segment
1. First Segment:
- Speed: 30 km/h
- Time: 20 minutes
Convert 20 minutes into hours:
20 minutes = 20/60 hours = 1/3 hours
Use the formula for distance:
Distance = Speed × Time
Distance = 30 km/h × (1/3) h = 10 km
2. Second Segment:
- Speed: 50 km/h
- Time: 10 minutes
Convert 10 minutes into hours:
10 minutes = 10/60 hours = 1/6 hours
Again, use the distance formula:
Distance = Speed × Time
Distance = 50 km/h × (1/6) h = 8.33 km
Calculating Total Distance
- Total Distance:
Total Distance = Distance from First Segment + Distance from Second Segment
Total Distance = 10 km + 8.33 km = 18.33 km
Final Result
Thus, the total distance covered by the cyclist is 18.33 km, which corresponds to option B.
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Community 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.
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 kmCorrect answer is option 'B'. Can you explain this answer?
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