And four hours I have driven 2/3 of the total distance. How long will it take to drive the whole distance at this rate would the answer be eight hours 6 hours 12 hours or 8/3 of an hour?
To find the time it would take to drive the whole distance at the given rate, we can set up a proportion:
4 hours corresponds to 2/3 of the total distance.
Let x represent the total time it would take to drive the whole distance. We can set up the proportion as:
4/2x = 2/3
Cross multiplying, we get:
4 * 3 = 2 * 2x
12 = 4x
Dividing both sides by 4, we find:
x = 3
So, it would take 3 hours to drive the whole distance. Therefore, the correct answer is 3 hours.
To find out how long it will take to drive the whole distance, we can use the information provided. Let's break down the problem step by step.
Given:
- You drove 2/3 of the total distance in 4 hours.
To find the total time needed to drive the whole distance, we can set up a proportion using the distance and time:
(2/3 of the total distance) / (4 hours) = (total distance) / (total time)
Since you drove 2/3 of the total distance in 4 hours, we can substitute these values into the equation:
(2/3) / 4 = 1 / (total time)
To find the total time, we can cross-multiply:
(2/3) * (total time) = 4 * 1
Now, solve for the total time:
2/3 * (total time) = 4
Divide both sides by 2/3:
(total time) = (4) / (2/3)
To divide by a fraction, we can multiply by the reciprocal:
(total time) = 4 * (3/2)
(total time) = 12 / 2
(total time) = 6
Therefore, it will take a total of 6 hours to drive the whole distance at the same rate. So the correct answer is 6 hours.
To determine how long it will take to drive the whole distance, we need to find the remaining fraction of the distance that still needs to be driven.
Since you have driven 2/3 of the total distance in four hours, it means that you have 1/3 of the total distance left to drive.
Now, let's calculate the time it takes to drive this remaining 1/3 of the total distance.
If you have already driven 2/3 of the distance in four hours, and you have 1/3 of the distance remaining, we can set up a proportion:
(2/3 distance) / (4 hours) = (1/3 distance) / (x hours)
To solve for x, cross-multiply:
(2/3) * x = (1/3) * 4
2x/3 = 4/3
Next, multiply both sides of the equation by 3 to cancel out the denominator:
2x = 4
Divide by 2 on both sides of the equation:
x = 2
Therefore, it will take another 2 hours to drive the remaining 1/3 of the total distance.
To find the total time to drive the whole distance, we need to add the time you have already driven (4 hours) with the time it will take to drive the remaining distance (2 hours):
Total time = 4 hours + 2 hours = 6 hours.
So the answer is 6 hours.