Your neighbor can seal your driveway in 4 hours. Working together, you and your neighbor can seal it in 2.3 hours. How long would it take you to seal it working alone?
Let's denote the time it would take for you to seal the driveway alone as x hours.
Your neighbor's rate of sealing the driveway is 1/4 driveway per hour, and your combined rate of sealing the driveway together is 1/2.3 driveway per hour.
From this, we can set up the equation:
1/x + 1/4 = 1/2.3
Multiplying through by 4 * 2.3 * x, we get:
9.2 + 2.3x = 4x
9.2 = 1.7x
x = 9.2 / 1.7
x = 5.41
Therefore, it would take you 5.41 hours to seal the driveway alone.