Question

solve, using a proportion. a bicyclist travels 9 miles in 30 minutes. at the same speed, how many miles can the cyclist travel in 90 minutes? ? miles

Explanation:

Step1: Define the proportion

Let \( x \) be the number of miles traveled in 90 minutes. Since the speed is constant, the ratio of miles to minutes should be equal. So we set up the proportion: \(\frac{9}{30}=\frac{x}{90}\)

Step2: Solve for \( x \)

Cross - multiply: \( 30x = 9\times90 \)
First, calculate \( 9\times90=810 \)
Then, divide both sides by 30: \( x=\frac{810}{30}=27 \)

Answer:

27