Let's denote:

• x as the time taken to walk one way (in hours).
• y as the time taken to drive one way (in hours).

From the problem, we have the following two equations:

1. Walking one way and driving back: The total time taken for walking one way and driving back is 6 hours. Therefore: $x + y = 6$
2. Walking both ways: The total time taken for walking both ways is 10 hours. Therefore: $2x = 10$

Now, solve for x in the second equation: $x = 10 / 2 = 5$

Substitute x = 5 into the first equation: $5 + y = 6$ Solving for y: $y = 6 - 5 = 1$

Now, to find the time taken to drive both ways, we simply multiply y (the time taken to drive one way) by 2: $2y = 2 \cdot 1 = 2$

Thus, the time taken to drive both ways is:

2 hours.