Question

Richard and Linda enjoy visiting Hilton Head Island, South Carolina. The distance from their home to Hilton Head is 870 mi, so the drive takes them 2 days. Richard and Linda travel four times as far the first day as they do the second day. How many miles do they travel each day?

Answer 1

On 1st day they traveled 696 miles and on 2nd day 174 miles.

Explanation:

Given:

Total distance traveled is 870 miles

It took 2 days.

To Find:

Distance traveled on individual day.

Solution:

Consider 2 variables x and y be distance traveled on 1st and 2nd day respectively.

x=distance traveled on 1st day.

y=distance traveled on 2 day.

So by given equation,

x+y=870 .

and they traveled 1st day 4 times as on 2nd day

x=4y

Hence above equation becomes,

x+y=870

4y+y=870

5y=870

y=870/5

y=174 miles

So they traveled 174 miles on 2nd day

Now for 1st day traveled distance

x=4y

=4(174)

x=696 miles

or x+y=870

x+174=870

x=870-174

x=696 miles

Hence they both traveled 696 miles on 1st day

Answer 2

696 miles at the first day, and 174 miles at the second day.

Explanation:

Given:

Richard and Linda enjoy visiting Hilton Head Island, South Carolina.

The distance from their home to Hilton Head is 870 miles.

So, the drive takes them 2 days.

Richard and Linda travel four times as far the first day as they do the second day.

Question asked:

How many miles do they travel each day?

Solution:

Let Richard and Linda traveled at the first day =
`x\ miles`

Then Richard and Linda traveled at the second day will be =
`4x\ miles`

Total distance from their home to Hilton Head = 870 miles

Traveled at the first day in miles + Traveled at the second day = 870

`4x+x=870\\ \\ 5x=870\\ \\ Dividing\ both\ sides\ by\ 5\\ \\ x=174\ miles`

By substituting the value:

Richard and Linda traveled at the first day =
`x\ miles` = 174 miles

Richard and Linda traveled at the second day will be =
`4x\ miles`

`=4*174=696\ miles`

Therefore, they traveled 696 miles at the first day and 174 miles at the second day.