Respuesta :
Answer: See explanation
Step-by-step explanation:
Mason paddles 7/8 mile in 1/4 hour.
Speed = Distance/Time
= (7/8)/(1/4)
= (7/8) × (4/1)
= 7/2
= 3.5 miles per hour
Dallas paddles 9/5 miles in 1/3 hour.
Speed = Distance/Time
= (9/5)/(1/3)
= (9/5) × (3/1)
= 27/5
= 5.4 miles per hour.
From the speed calculated, we can see that Dallas paddles faster
In the canoe race, Dallas paddles faster than Mason. The speed of Mason is 3.5 mph and the speed of Dallas is 5.4 mph and this can be determined by using the formula of speed.
Given :
- Mason and Dallas are in a canoe race.
- Mason paddles 7/8 mile in 1/4 hour.
- Dallas paddles 9/5 miles in 1/3 hour.
The formula of speed can be used to determine that who paddles faster in the canoe race.
The speed is given by the formula:
[tex]\rm s =\dfrac{D}{t}[/tex] --- (1)
where s is the speed, D is the distance covered, and t is the time taken to cover that distance.
Now, put D = 7/8 miles and t = 1/4 hour in the equation (1) in order to determine the speed of Mason.
[tex]\rm s = \dfrac{\dfrac{7}{8}}{\dfrac{1}{4}}[/tex]
[tex]\rm s = \dfrac{7}{8}\times \dfrac{4}{1}[/tex]
s = 3.5 mph
Now, put D = 9/5 miles and t = 1/3 hour in the equation (1) in order to determine the speed of Dallas.
[tex]\rm s = \dfrac{\dfrac{9}{5}}{\dfrac{1}{3}}[/tex]
[tex]\rm s = \dfrac{9}{5}\times \dfrac{3}{1}[/tex]
s = 5.4 mph
So, in the canoe race, Dallas paddles faster than Mason.
For more information, refer to the link given below:
https://brainly.com/question/17661499