Ask Question
11 July, 16:34

On the first day of the trip, he will drive one half of the total distance. On the second day of the trip, he will drive half of the remaining distance. On the third day, he will drive four times the distance of the fourth day. On the fourth day, he will drive 5 miles. How many miles is the total trip?

+1
Answers (1)
  1. 11 July, 19:28
    0
    Total distance traveled is 100 miles

    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

    where x is the total distance of the trip.

    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.

    0.5x + 0.25x + 0.25x = x, which is the total distance traveled.

    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 = 100 miles
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “On the first day of the trip, he will drive one half of the total distance. On the second day of the trip, he will drive half of the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers