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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?
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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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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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