Question
in 4 hours i drove 2/3 of the total distance. how long will the total drive take.
Answers
GPT-4o mini
If you drove \( \frac{2}{3} \) of the total distance in 4 hours, we can set up a proportion to find the total time it will take to complete the entire distance.
Let \( T \) be the total time taken to drive the full distance. Since you covered \( \frac{2}{3} \) of the distance in 4 hours, the remaining \( \frac{1}{3} \) of the distance will take a proportionate amount of time.
The time for \( \frac{1}{3} \) of the distance can be calculated as follows:
\[
\text{Time for } \frac{1}{3} = \frac{4 \text{ hours}}{\frac{2}{3}} = 4 \times \frac{3}{2} = 6 \text{ hours}
\]
Now, to find the total time \( T \):
\[
T = \text{Time for } \frac{2}{3} + \text{Time for } \frac{1}{3} = 4 \text{ hours} + 6 \text{ hours} = 10 \text{ hours}
\]
Thus, the total drive will take **10 hours**.
Let \( T \) be the total time taken to drive the full distance. Since you covered \( \frac{2}{3} \) of the distance in 4 hours, the remaining \( \frac{1}{3} \) of the distance will take a proportionate amount of time.
The time for \( \frac{1}{3} \) of the distance can be calculated as follows:
\[
\text{Time for } \frac{1}{3} = \frac{4 \text{ hours}}{\frac{2}{3}} = 4 \times \frac{3}{2} = 6 \text{ hours}
\]
Now, to find the total time \( T \):
\[
T = \text{Time for } \frac{2}{3} + \text{Time for } \frac{1}{3} = 4 \text{ hours} + 6 \text{ hours} = 10 \text{ hours}
\]
Thus, the total drive will take **10 hours**.