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 a professional runner run in 30 minutes

Answer 1

A student athlete runs
`3(1)/(3)` miles in 30 minutes. A professional runner in 30 minutes can run
`1(1)/(4)` times as far as a student.

1. Convert these fractions in following way:

• 
  `3(1)/(3)=(3\cdot 3+1)/(3)=(10)/(3);`
• 
  `1(1)/(4)=(1\cdot 4+1)/(4)=(5)/(4).`

2. Multiply them:

`(10)/(3)\cdot (5)/(4)=(10\cdot 5)/(3\cdot 4)=(50)/(12)=(25)/(6)=4(1)/(6).`

Answer: a professional runner can run
`4(1)/(6)` miles in 30 minutes