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12. winston won 3 races in 4 weeks. at that rate, how long will it take…

Question

  1. winston won 3 races in 4 weeks. at that rate, how long will it take him to win 10 races?

Explanation:

Step1: Define the rate

The rate of winning races is 3 races per 4 weeks. Let \( x \) be the number of weeks to win 10 races. We can set up a proportion: \(\frac{3}{4}=\frac{10}{x}\)

Step2: Solve for \( x \)

Cross - multiply: \( 3x = 4\times10 \)
\( 3x=40 \)
Then, \( x=\frac{40}{3}\approx13.33 \) (or as a fraction \( x = 13\frac{1}{3} \))

Answer:

It will take \(\frac{40}{3}\) weeks (or approximately \( 13.33 \) weeks or \( 13\frac{1}{3} \) weeks) to win 10 races.