Answer:
Martin climbs at a rate of 20 meters per hour
Step-by-step explanation:
Martin and Alexia are rock climbing. Each person's rate stays the same for the first hour they climb.
For Martin's,
Distance = [tex]3\dfrac{1}{3}\ m=\dfrac{10}{3}\ m[/tex] in 1/6 hour
Rate is given by :
[tex]R=\dfrac{\frac{10}{3}}{\frac{1}{6}}\ m/h\\\\=\dfrac{10}{3}\times 6\\\\=20\ \text{meters/hour}[/tex]
For Alexia,
Distance = [tex]17\dfrac{1}{2}\ m=\dfrac{35}{2}\ m[/tex] in 5/6 hour
Rate is given by :
[tex]R=\dfrac{\frac{35}{2}}{\frac{5}{6}}\ m/h\\\\=\dfrac{35}{2}\times \dfrac{6}{5}\\\\=21\ \text{meters/hour}[/tex]
Hence, the correct option is (A) "Martin climbs at a rate of 20 meters per hour"
