Question

Solve. Mike competed in a 6-mile race. He ran 3/5 of it and walked the rest. How many miles of the race did Mike walk? Express your answer as a mixed number in lowest terms.

Answer 1

2 2/5 miles

Step-by-step explanation:

The total length of the race = 6 miles

The proportion of the race for which he ran = 3/5

Therefore, the proportion of the race for which he walked

`\begin{gathered} =1-(3)/(5) \\ =(5-3)/(5) \\ =(2)/(5) \end{gathered}`

Therefore, the number of miles he walked will be:

`\begin{gathered} =(2)/(5)*6 \\ =(12)/(5) \\ =2(2)/(5)\text{ miles} \end{gathered}`

Mike walked for 2 2/5 miles.