Let the distance one way = D
Average Speed = \frac{Total Distance}{Total Time}
Time uphill = \(\frac{D}{10}\)
Time downhill = \(\frac{D}{30}\)
Total time = \(\frac{D}{10} + \frac{D}{30} = \frac{30D+10D}{30 \times 10} = \frac{40D}{300}\)
Total Distance \(= D + D = 2D\)
Average Speed = \(2D / \frac{40D}{300} = \frac{2D \times 300}{40} = 15\)
OA, ACarcass wrote:
A bicyclist travels up the hill at 10 miles per hour and returns down the same hill at 30 miles per hour. What is his/her average speed, in miles per hour, for the entire journey up and down the hill ?
A. 15
B. 17
C. 20
D. 22
E. 25