Question

Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?

Answer 1

Total time for which they ride =
`\bold{7\ hours}`

Number of miles they ride each way = 24 mi

Explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park =
`D` mi

Let the time taken =
`t` hours

Formula:

`Distance = Speed * Time`

`\Rightarrow D = 8t` ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time =
`t+1` hours

Distance traveled is 4 mi more, i.e.
`D+4` mi

Using the Formula:

`Distance = Speed * Time`

`D+4=7* (t+1)`

From equation (1):

`8t+4=7t+7\\\Rightarrow t=3\ hours`

From equation (1):

`D = 8 * 3 = 24\ mi`

Total time for which they ride =
`t+t+1 = \bold{7\ hours}`

Number of miles they ride each way = 24 mi