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11 Mar 2026, 08:56
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A cyclist covers four consecutive 5 km stretches at speeds of 15 km/h, 20 km/h, 30 km/h, and 60 km/h, respectively. What is the average speed over the total distance?
A. 20 km/h
B. 24 km/h
C. 25 km/h
D. 30 km/h
E. 36 km/h
A. 20 km/h
B. 24 km/h
C. 25 km/h
D. 30 km/h
E. 36 km/h
11 Mar 2026, 08:56
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Official Solution:
A cyclist covers four consecutive 5 km stretches at speeds of 15 km/h, 20 km/h, 30 km/h, and 60 km/h, respectively. What is the average speed over the total distance?
A. 20 km/h
B. 24 km/h
C. 25 km/h
D. 30 km/h
E. 36 km/h
Average speed \(= \frac{\text{total distance}}{\text{total time}}\).
Since each stretch is 5 km, total distance is 20 km, and total time is the sum of the times for each 5 km stretch.
Total time \(= \frac{5}{15} + \frac{5}{20} + \frac{5}{30} + \frac{5}{60}\).
\(= \frac{5}{6}\) hours.
Average speed \(= \frac{20}{\frac{5}{6}} = 24\) km/h.
Answer: B
A cyclist covers four consecutive 5 km stretches at speeds of 15 km/h, 20 km/h, 30 km/h, and 60 km/h, respectively. What is the average speed over the total distance?
A. 20 km/h
B. 24 km/h
C. 25 km/h
D. 30 km/h
E. 36 km/h
Average speed \(= \frac{\text{total distance}}{\text{total time}}\).
Since each stretch is 5 km, total distance is 20 km, and total time is the sum of the times for each 5 km stretch.
Total time \(= \frac{5}{15} + \frac{5}{20} + \frac{5}{30} + \frac{5}{60}\).
\(= \frac{5}{6}\) hours.
Average speed \(= \frac{20}{\frac{5}{6}} = 24\) km/h.
Answer: B
