Question

A student-athlete runs 3 1/3 miles in 30 minutes. A professional runner can run 1 1/4 times as far in 30 minutes. How far can the professional runner run in 30 minutes?

Answer 1

Professional runner can run in 30 minutes is $\mathbf{4\tfrac{1}{6} \ miles}$

Step-by-step explanation:

• Distance run by athlete in 30 minute $\mathbf{=3\tfrac{1}{3} =\frac{10}{3} \ miles}$

• Distance run by professional in 30 minute $\mathbf{=1\tfrac{1}{4}}$ times Distance run by athlete

• We can also write above

• Distance run by professional in 30 minute $\mathbf{=\tfrac{5}{4}}$ times Distance run by athlete

        Means

        Distance run by professional in 30 minute$\mathbf{=\frac{5}{4}\times \frac{10}{3}}$

• Distance run by professional in 30 minute $\mathbf{=\frac{50}{12}=\frac{25}{6}=4\tfrac{1}{6} \ miles}$

Answer 2

The professional runner can run $4\frac{1}{6}$ miles in 30 minutes.

Step-by-step explanation:

It is given that, a student-athlete runs $3\frac{1}{3}$ miles in 30 minutes i.e. he can run $\frac{10}{3}$ miles in 30 minutes.

Now, it is also given that a professional runner can run $1\frac{1}{4}$ times as far in 30 minutes.

So, the professional runner can run $1\frac{1}{4}$ times i.e. $\frac{5}{4}$ times more than the student-athlete in 30 minutes.

Hence, the professional runner can run $(\frac{10}{3} \times \frac{5}{4}) = \frac{25}{6} = 4\frac{1}{6}$ miles in 30 minutes. (Answer)