Question

1. thunder from a bolt of lightning travels \\(\frac{1}{10}\\) mile in \\(\frac{1}{2}\\) second. at this rate, how many miles can it travel in one second? (example 2)

Explanation:

Step1: Identify the rate formula

The rate \( r \) is given by distance \( d \) divided by time \( t \), i.e., \( r=\frac{d}{t} \). Here, \( d = \frac{1}{10} \) mile and \( t=\frac{1}{2} \) second. But we need to find the distance traveled in 1 second. Let the distance in 1 second be \( x \). Since the rate is constant, we can set up a proportion: \( \frac{\frac{1}{10}}{\frac{1}{2}}=\frac{x}{1} \).

Step2: Solve the proportion

To solve \( \frac{\frac{1}{10}}{\frac{1}{2}} = x \), we know that dividing by a fraction is multiplying by its reciprocal. So \( \frac{1}{10}\div\frac{1}{2}=\frac{1}{10}\times2=\frac{2}{10}=\frac{1}{5} \).

Answer:

\(\frac{1}{5}\)