Question

Jennifer's horse moves with three basic gaits (ways to move forward): the four-beat walk with a speed of 6 km/h, the two-beat trot with a speed of 15 km/h, and the gallop with a speed of 30 km/h. During her daily ride, she went one hour at the four-beat walk, twenty minutes at the two-beat trot, and ten minutes at the gallop speed. How long, in km, was Jennifer's ride?

Answer 1

Answer: 16 km

Work Shown:

`\begin{array}c \cline{1-4}\text{Gait} & \text{Rate (km/hr)} & \text{Time (hr)} & \text{Distance (km)}\\\cline{1-4}\text{Four-beat} & 6 & 1 & 6*1 = 6\\\cline{1-4}\text{Two-beat} & 15 & 1/3 & 15*(1/3) = 5\\\cline{1-4}\text{Gallop} & 30 & 1/6 & 30*(1/6) = 5\\\cline{1-4}\text{Total} & & & 6+5+5 = 16\\\cline{1-4}\end{array}`

Side notes:

• distance = rate*time
• 20 min = 20/60 = 1/3 of an hour
• 10 min = 10/60 = 1/6 of an hour