Answer:
He will bike 26.87 miles.
Step-by-step explanation:
Given:
Jordan bikes at a speed of 8 2/3 mph.
Now, to find the distance he will bike in 3 hours and 6 minutes.
Speed = [tex]8\frac{2}{3}=\frac{26}{3}\ mph.[/tex]
Time = 3 hours and 6 minutes
= [tex]180+6=186\ minutes.[/tex]
As, 60 minutes = 1 hour.
= [tex]\frac{186}{60} =3.1\ hours.[/tex]
So, to get the distance we put formula:
[tex]Distance=speed\times time[/tex]
[tex]Distance=\frac{26}{3} \times 3.1[/tex]
[tex]Distance=\frac{80.6}{3}[/tex]
[tex]Distance=26.87\ miles.[/tex]
Therefore, he will bike 26.87 miles.
Jordan will bike 28.67 miles in 3 hours and 6 minutes.
Information given in the question,
Since, speed of an object can be calculated by the expression,
Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
From the question,
Time of travelling = 3 hours and 6 minutes
= 3 hours + [tex]\frac{6}{60}[/tex] hours
= 3.1 hours
Substitute these values in the expression,
[tex]\frac{26}{3}=\frac{\text{Distance}}{3.1}[/tex]
Distance = [tex]\frac{26\times 3.1}{3}[/tex]
= 28.67 miles
Therefore, Jordan will bike 28.67 miles in 3 hours and 6 minutes.
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