Answer:
<em>Total distance traveled is 100 miles</em>
Step-by-step explanation:
The man will drive half of the trip on the first day, therefore, distance that will be traveled on the first day = 0.5x
<em>where x is the total distance of the trip.</em>
On the second day, he will drive half of the remaining half of the distance, i.e he will drive 0.5 x 0.5x = 0.25x
This implies that the total distance that will be traveled traveled in the final two days of the journey will also be 0.5 x 0.5x = 0.25x.
<em>0.5x + 0.25x + 0.25x = x, which is the total distance traveled.</em>
on the third day he will drive 4 times the distance of the fourth day, therefore, distance that will be traveled on the third day = 4 x 5 = 20 miles
on the fourth day, he will drive 5 mile.
total of the last two days = 5 + 20 = 25 miles.
this 25 miles is equal to 0.25 of the whole trip. Equating these values, we have
0.25x = 25 miles
x = 25/0.25 = <em>100 miles</em>
