Jamal travels 450 feet in 10 seconds on his bicycle. At this rate, how many feet can he travel in one minute?How many feet can Jamal travel in 1 second?Use the unit rate to help you answer the 1st question.

Solution:
The conversion rate is given below as
[tex]450\text{ f}eet=10\text{ seconds}[/tex]Let the number of feet he can travel in one minute be
[tex]=x[/tex]Recall that,
[tex]60\text{ seconds= 1 minute}[/tex]Hence,
we will have the relation to be
[tex]\begin{gathered} 450\text{ f}eet=10\sec onds \\ \text{x f}eet=60\text{ seconds} \end{gathered}[/tex]Cross multiply, we will have
[tex]\begin{gathered} 10\times x=450\times60 \\ 10x=27000 \\ \text{divide both sides by 10} \\ \frac{10x}{10}=\frac{27000}{10} \\ x=2700\text{ feet} \end{gathered}[/tex]Hence,
Jamal will travel 2700 feet in one minute
Step 2:
To calculate the number of feet Jamal can travel in second, we will use the relation below
[tex]450\text{ f}eet=10\text{ seconds}[/tex]Let the number of feet in one second be
[tex]=y[/tex][tex]\begin{gathered} 450\text{ f}eet=10\text{ seconds} \\ y=1\text{second} \end{gathered}[/tex]By cross multiplying, we will have
[tex]\begin{gathered} 10\times y=450\times1 \\ 10y=450 \\ \text{divide both sides by 10} \\ \frac{10y}{10}=\frac{450}{10} \\ y=45\text{ fe}et \end{gathered}[/tex]Hence,
Jamal travels at 45 feet in one second