Nail is returning from a trip in four hours. He has driven 2/3 of the total distance. He wants to know how long the total drive will take at this rate what is the total time it will take him to reach his destination is the answer eight hours 8/3 of an hour six hours or 12 hours.
If Nail has driven 2/3 of the total distance already, that means there is 1/3 of the distance left to travel.
Since there are four total hours remaining until Nail reaches his destination, the remaining 1/3 of the distance will be covered in four hours.
To find how long the total drive will take, we need to calculate the time it will take to cover 1/3 of the distance.
Since it takes four hours to cover 1/3 of the distance, we can set up the following proportion:
4 hours = 1/3 of the distance
x hours = 1 whole distance
Cross-multiplying, we get:
4 * 1 = x * 3
4 = 3x
x = 4/3
Therefore, the total time it will take Nail to reach his destination is 4/3 of an hour, or 1 hour and 20 minutes.
Therefore, the correct answer is 1 hour and 20 minutes.
To find the total time it will take Nail to reach his destination, we need to determine the time it takes for him to drive the remaining distance.
Since Nail has already driven 2/3 of the total distance, this means he has 1/3 of the total distance left to drive.
We can assume that Nail's driving speed remains constant throughout the trip. Therefore, the time it will take to drive the remaining 1/3 of the distance will be proportional to the time it took to drive the first 2/3 of the distance.
Let's denote the total time it will take for Nail to reach his destination as T (in hours). The time taken to drive the remaining 1/3 of the distance can be denoted as (1/3)T.
From the given information, we know that (1/3)T = 4 hours, since Nail is returning from a trip in four hours.
Now, we can solve for T, the total time it will take for Nail to reach his destination:
(1/3)T = 4 hours
1T = 12 hours
Therefore, the total time it will take Nail to reach his destination is 12 hours.
Answer: 12 hours
To find the total time it will take Nail to reach his destination, we need to determine the time it took him to drive 2/3 of the total distance and then calculate the remaining time.
Let's assume that Nail traveled 2/3 of the total distance in "t" hours.
Since he traveled 2/3 of the distance in "t" hours, we can set up the following equation:
2/3 * total distance = t hours
To find the remaining distance, we subtract 2/3 from 1 (since 1 - 2/3 = 1/3). So, Nail still needs to cover 1/3 of the total distance.
Since we want to know the total time it will take him to reach his destination, we add the remaining time to the time already spent:
t + 1/3 * total distance = total time
Since we know t = 4 (Nail is returning from a trip in four hours), we can substitute this value into the equation:
4 + 1/3 * total distance = total time
We can now solve for the total time by substituting values for the total distance:
For simplicity, let's assume the total distance is 1 unit (It could be any value).
4 + 1/3 * 1 = 4 + 1/3 = 12/3 + 1/3 = 13/3 hours
So, the total time it will take Nail to reach his destination is 13/3 hours or approximately 4 hours and 20 minutes.
Therefore, the correct answer is approximately 4 hours and 20 minutes.