Question

1. it takes diego \\(\frac{1}{24}\\) of an hour to complete a lap on a circular bike track. the track is \\(\frac{1}{3}\\) mile long. what is diego’s bike speed?\

a. \\(\frac{1}{8}\\) mile per hour\
b. \\(\frac{1}{8}\\) hours per mile\
c. 8 miles per hour\
d. 8 hours per mile

Explanation:

Step1: Recall speed formula

Speed \( v \) is given by the formula \( v=\frac{\text{distance}}{\text{time}} \). Here, the distance (length of the track) is \( \frac{1}{3} \) mile and the time taken to complete one lap is \( \frac{1}{24} \) hour.

Step2: Substitute values into formula

Substitute distance \( d = \frac{1}{3} \) mile and time \( t=\frac{1}{24} \) hour into the speed formula:

$$ v=\frac{\frac{1}{3}}{\frac{1}{24}} $$

Dividing by a fraction is the same as multiplying by its reciprocal, so:

$$ v = \frac{1}{3}\times\frac{24}{1}=\frac{24}{3} = 8 $$

So the speed is 8 miles per hour.

Answer:

C. 8 miles per hour