Question

A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to cover a total of 24 kilometers? Solve using unit rates.

Answer 1

We need to find how many trips she will have to make to cover a total of 24 kilometers.

We know that she covered 15 kilometers by making 5 trips. Thus, the number of kilometers made on each trip is:

`\frac{15\text{ kilometers}}{5\text{ trips}}=\frac{15/5\text{ kilometers}}{5/5\text{ trip}}=\frac{3\text{ kilometers}}{1\text{ trip}}`

Then, she made 3 kilometers on 1 trip (unit rate).

Now, to cover 24 kilometers, she needs to make 8 trips, because:

`\begin{gathered} 3\text{ kilometers }*8=24\text{ kilometers} \\ \\ 1\text{ trip }*8=8\text{ trips} \end{gathered}`

Thus:

`\frac{3\text{ kilometers}}{1\text{ trip}}=\frac{3\text{ kilometers}}{1\text{ trip}}*(8)/(8)=\frac{3*8\text{ kilometers}}{1*8\text{ trips}}=\frac{24\text{ kilometers}}{8\text{ trips}}`

Answer: She will have to make 8 trips.