Question

A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 47 Minutes ? In 1 hour ?The car will travel ( blank) miles in 47 minutes (Simplify your answer. Type an integer, proper fraction, or mixed number.)

Answer 1

1 1/2 miles ---> 2 1/4 minutes

x miles -------> 47 minutes

answer: 31 1/3 miles in 47 minutes

for 1 hour = 60 minutes

answer: 40 miles in 1 hour

Explanation:

Answer 2

1 1/2 miles ---> 2 1/4 minutes

x miles -------> 47 minutes

`\begin{gathered} x*2(1)/(4)=1(1)/(2)*47 \\ x*(9)/(4)=(3)/(2)*47 \\ (9)/(4)x=70.5 \\ (9)/(4)x*(4)/(9)=70.5*(4)/(9) \\ x=(94)/(3)=31(1)/(3) \end{gathered}`

answer: 31 1/3 miles in 47 minutes

for 1 hour = 60 minutes

`\begin{gathered} (9)/(4)x=(3)/(2)*60 \\ (9)/(4)x=90 \\ (9)/(4)x*(4)/(9)=90*(4)/(9) \\ x=40 \end{gathered}`

answer: 40 miles in 1 hour