Miguel is returning from a trip. In 4 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?
If in 4 hours he has driven 2/3 of the total distance, then in 1 hour he drives 2/3 * 1/4 = 2/12 = 1/6 of the total distance
To drive the entire distance, he needs to drive for 6 * 1 = <<6*1=6>>6 hours. Answer: \boxed{6}.
To determine the total time it will take for Miguel to reach his destination, we need to find the remaining distance and calculate the time it will take to cover that distance at the same rate.
Given:
- Miguel has driven 2/3 of the total distance within 4 hours.
Let's find the remaining distance Miguel has to drive:
1. Subtract the distance Miguel has driven (2/3) from the total distance (1) to find the remaining distance: 1 - 2/3 = 1/3.
Now, we can calculate the time it will take Miguel to cover the remaining distance:
2. Since Miguel has covered 2/3 of the total distance in 4 hours, we can find the rate at which he's driving by dividing the distance by time: (2/3) / 4 = 1/6.
3. Now, to find the total time it will take him to reach his destination, we divide the remaining distance (1/3) by the rate (1/6): (1/3) / (1/6) = (1/3) * (6/1) = 6/3 = 2 hours.
Therefore, it will take Miguel an additional 2 hours to reach his destination, making the total drive time 4 hours (already driven) + 2 hours (remaining) = 6 hours.
To find the total time it will take Miguel to reach his destination, we need to determine how much time is left for him to drive the remaining distance.
Since Miguel has already driven 2/3 of the total distance in 4 hours, we can calculate the time it would take him to drive 1/3 of the distance by dividing 4 hours by 2.
4 hours รท 2 = 2 hours
Therefore, it would take Miguel 2 hours to drive 1/3 of the total distance. If he has already driven for 4 hours, we can add the 2 hours it would take him to drive the remaining 1/3 of the distance:
4 hours (already driven) + 2 hours (remaining distance) = 6 hours
Hence, the total time it will take Miguel to reach his destination at the same rate is 6 hours.