A cycle race in France is 2214.5 miles in length. Miguel knows his average speed from previous races is 21.14 miles per hour. For this next race in France he is planning on cycling 9 hours per day. Estimate how many days Miguel will take to complete the race

Respuesta :

Answer: 12 days

Step-by-step explanation:

Distance = speed / time

2214.50 = 21.14 / t

t = 2214.50 / 21.14 = 104.75 hours

At 9 hours per day, it will take

104.754/9 = 11.64 = 12 days

The number of days Miguel will take to complete the race is 12 days and this can be determined by using the definition of speed.

Given :

  • A cycle race in France is 2214.5 miles in length.
  • Miguel knows his average speed from previous races is 21.14 miles per hour.
  • For this next race in France, he is planning on cycling 9 hours per day.

The formula of speed is used to determine the number of days Miguel will take to complete the race.

The formula of speed is given by:

[tex]\rm S =\dfrac{D}{t}[/tex]    --- (1)

where S is the speed, D is the distance, and t is the time.

Put the values of D and S in equation (1) in order to determine the number of days Miguel will take to complete the race.

[tex]21.14 = \dfrac{2214.5}{t}[/tex]

[tex]t = \dfrac{2214.5}{21.14}[/tex]

t = 104.75 hours

For nine hours per day it will take:

[tex]\rm \dfrac{104.75}{9} = 11.64 \approx 12\; days[/tex]

The number of days Miguel will take to complete the race is 12 days.

For more information, refer to the link given below:

https://brainly.com/question/21835898

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