Let's assume the distance you drove is represented by "d" miles.
Using the formula distance = rate × time, we can calculate the time it took for the original trip and the adjusted trip.
For the original trip, where you drove at a rate (or speed) of 40 miles per hour, the time is:
time = distance / rate = d / 40 hours.
For the adjusted trip, where you drove at a rate of 25 miles per hour, the time is:
time = distance / rate = d / 25 hours.
According to the problem, the adjusted trip took 45 minutes longer than the original trip. Since 45 minutes is 45/60 = 0.75 hours, we can set up the following equation:
d / 25 = d / 40 + 0.75.
To solve the equation, we can start by simplifying it:
Multiply both sides of the equation by the least common multiple (LCM) of 25 and 40, which is 200:
8d = 5d + 150.
Subtract 5d from both sides of the equation:
8d - 5d = 150,
3d = 150.
Divide both sides of the equation by 3:
d = 150 / 3,
d = 50.
I hope its correct