Answer:
[tex]Distance = 39.2[/tex]
Step-by-step explanation:
Given
[tex]Distance = 6ft;\\ Time = 15seconds[/tex]
Required
Determine the distance covered in 98 seconds
To solve this, the following assumption must be made:
So, first we calculate the speed
[tex]Speed = \frac{Distance}{Time}[/tex]
Substitute 6 for Distance and 15 for Time
[tex]Speed = \frac{6}{15}[/tex]
[tex]Speed = 0.40[/tex]
Next, is to calculate the required distance
[tex]Speed = \frac{Distance}{Time}[/tex]
In this case:
[tex]Speed = 0.40[/tex] because it is constant and
[tex]Time = 98[/tex]
The expression becomes:
[tex]0.40 = \frac{Distance}{98}[/tex]
Make Distance the subject:
[tex]Distance = 0.40 * 98[/tex]
[tex]Distance = 39.2[/tex]
The peacock will walk 39.2 feet in 98 seconds