Final answer:
To find the distance from Town A to Town B, we set up an equation with the speed and time given before and after the speed increase, and by solving it, we find that the distance is 240 kilometers.
Step-by-step explanation:
To determine how far from Town A is Town B, we can set up a system of equations based on the information given.
Let's call the distance from Town A to Town B 'd' kilometers. With the original speed, the car takes 4 hours to drive from Town A to Town B, so the average speed would be distance divided by time, which gives us:
Speed = d / 4
When the car increases its average speed by 20 km/h, it needs 3 hours to arrive at Town B. This implies that the new speed is:
New speed = d / 3
According to the information, the new speed (d / 3) is 20 km/h greater than the original speed (d / 4), hence:
d / 3 = d / 4 + 20
By solving this equation for 'd', we can find the distance from Town A to Town B. Multiplying through by 12 (the common denominator) yields:
4d = 3d + 240
So, d = 240 kilometers. Thus, Town B is 240 kilometers away from Town A.