Question

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.

Answer 1

The conversion rate is given below as

`450\text{ f}eet=10\text{ seconds}`

Let the number of feet he can travel in one minute be

`=x`

Recall that,

`60\text{ seconds= 1 minute}`

Hence,

we will have the relation to be

`\begin{gathered} 450\text{ f}eet=10\sec onds \\ \text{x f}eet=60\text{ seconds} \end{gathered}`

Cross multiply, we will have

`\begin{gathered} 10* x=450*60 \\ 10x=27000 \\ \text{divide both sides by 10} \\ (10x)/(10)=(27000)/(10) \\ x=2700\text{ feet} \end{gathered}`

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

`450\text{ f}eet=10\text{ seconds}`

Let the number of feet in one second be

`=y`
`\begin{gathered} 450\text{ f}eet=10\text{ seconds} \\ y=1\text{second} \end{gathered}`

By cross multiplying, we will have

`\begin{gathered} 10* y=450*1 \\ 10y=450 \\ \text{divide both sides by 10} \\ (10y)/(10)=(450)/(10) \\ y=45\text{ fe}et \end{gathered}`

Hence,

Jamal travels at 45 feet in one second