Question

A sailboat took 1/3 of an hour to travel 10 miles. At the same pace, how many hours would the sailboat take to travel 120 miles? A B 8 hours 36 hours 4 hours

Answer 1

You know that the boat traveled 10 miles on 1/3 hours.

To determine how much time it will take the sailboat to travel 120miles at the same speed, you can use cross multiplication:

10miles_____1/3hr

120miles_____x hr

Both relationships are at the same ratio, so that:

`\begin{gathered} ((1)/(3))/(10)=(x)/(120) \\ (1)/(3)\cdot(1)/(10)=(x)/(120) \\ (1)/(30)=(x)/(120) \end{gathered}`

-Multiply both sides by 120:

`\begin{gathered} 120\cdot(1)/(30)=120\cdot(x)/(120) \\ 4=x \end{gathered}`

The boat will take 4 hours to travel 120miles