mason and dallas are in a canoe race. mason p...
mason and dallas are in a canoe race. mason paddles $\frac{7}{8}$ mile in $\frac{1}{4}$ hour. dallas paddles $\frac{9}{5}$ miles in $\frac{1}{3}$ hour. who paddles faster? find each speed in miles per hour. masons speed is mile(s) per hour. dallas speed is mile(s) per hour.
Answer
# Explanation:
## Step1: Calculate Mason's speed
Speed = Distance / Time. Mason's distance is $\frac{7}{8}$ mile and time is $\frac{1}{4}$ hour. So his speed $v_1=\frac{\frac{7}{8}}{\frac{1}{4}}=\frac{7}{8}\times4=\frac{7}{2} = 3.5$ miles per hour.
## Step2: Calculate Dallas's speed
Dallas's distance is $\frac{9}{5}$ miles and time is $\frac{1}{3}$ hour. So his speed $v_2=\frac{\frac{9}{5}}{\frac{1}{3}}=\frac{9}{5}\times3=\frac{27}{5}= 5.4$ miles per hour.
# Answer:
Mason's speed is $3.5$ mile(s) per hour. Dallas' speed is $5.4$ mile(s) per hour.