Question

In 4 hours you drive 2/3 of the total distance how long will it take to drive the total distance

Answer 1

If you drive \( \frac{2}{3} \) of the total distance in 4 hours, then to find out how long it will take to drive the entire distance, you can set up the problem as follows:

Since \( \frac{2}{3} \) of the distance takes 4 hours, the time to cover the whole distance (1 or \( \frac{3}{3} \)) can be calculated as follows:

\[
\text{Total time} = \text{Time for } \frac{2}{3} \text{ distance} \div \frac{2}{3}
\]

This is equivalent to multiplying by the reciprocal of \( \frac{2}{3} \):

\[
\text{Total time} = 4 \text{ hours} \times \frac{3}{2}
\]

Calculating that gives:

\[
\text{Total time} = 4 \times 1.5 = 6 \text{ hours}
\]

So, it will take a total of 6 hours to drive the entire distance.