A community bike ride offers a short 5.7 mile ride for children and families. The short ride is followed by a long ride. 5 2/3 times as long as the short ride. If a woman does the short ride and then does the longer ride later, how many miles does she ride altogether?

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

A community bike ride offers a short 5.7 mile ride for children and families

[tex]\texttt{Short Ride Distance} = 5.7 ~ \texttt{miles}[/tex]

A long ride is 5²/₃ times as long as the short ride

[tex]\texttt{Long Ride Distance} = 5\frac{2}{3} \times \texttt{Short Ride Distance}[/tex]

[tex]\texttt{Long Ride Distance} = 5\frac{2}{3} \times 5.7 ~ \texttt{miles}[/tex]

[tex]\texttt{Long Ride Distance} = 32.3 ~ \texttt{miles}[/tex]

If a woman does the short ride and then does the longer ride later, then

[tex]\texttt{Total Distance} = \texttt{Short Ride Distance} + \texttt{Long Ride Distance}[/tex]

[tex]\texttt{Total Distance} = 5.7 ~ \texttt{miles} + 32.3 ~ \texttt{miles}[/tex]

[tex]\texttt{Total Distance} = \boxed {38 ~ \texttt{miles}}[/tex]

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent