Question

For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 400 miles in 8 hours, how many miles does it travel in 6 hours? miles =

Answer 1

Step-by-step explanation:

Let the distance be represented below as

`=d`

Let the time be represented below as

`=t`

For a car moving at a constant speed, the distance traveled varies directly with the time spent driving.

This can be represented below as

`d=rt`

Substitute d=400 and t=8 in the formula below

`\begin{gathered} d=rt \\ 400=8r \\ (8r)/(8)=(400)/(8) \\ r=50milesperhour \end{gathered}`

Replace the value of r in the formula below, we will have

`\begin{gathered} d=rt \\ d=50t \end{gathered}`

how many miles does it travel in 6 hours?

This can be calculated by substituting the value of t=6 hours in the formula above

`\begin{gathered} d=50t \\ d=50*6 \\ d=300\text{ }miles \end{gathered}`

Hence,

The final answer is

`\Rightarrow300\text{ }miles`