contestada

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

Respuesta :

frika

A student athlete runs [tex]3\dfrac{1}{3}[/tex] miles in 30 minutes. A professional runner in 30 minutes can run [tex]1\dfrac{1}{4}[/tex] times as far as a student.

1. Convert these fractions in following way:

  • [tex]3\dfrac{1}{3}=\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3};[/tex]
  • [tex]1\dfrac{1}{4}=\dfrac{1\cdot 4+1}{4}=\dfrac{5}{4}.[/tex]

2. Multiply them:

[tex]\dfrac{10}{3}\cdot \dfrac{5}{4}=\dfrac{10\cdot 5}{3\cdot 4}=\dfrac{50}{12}=\dfrac{25}{6}=4\dfrac{1}{6}.[/tex]

Answer: a professional runner can run [tex]4\dfrac{1}{6}[/tex] miles in 30 minutes