To calculate the percent change in time of trouble, we need to consider the relationship between speed, time, and distance. If the speed is decreased by 25% and the total distance is increased by 50%, the time of trouble will increase by 50%.
To calculate the percent change in time of trouble, we need to consider the relationship between speed, time, and distance. The formula for speed is speed = distance / time.
If the speed is decreased by 25%, it means the new speed is 75% of the original speed. If the total distance is increased by 50%, it means the new distance is 150% of the original distance.
To find the new time, we can rearrange the formula for speed: time = distance / speed.
Plugging in the new values, we have:
New speed = 0.75 original speed
New distance = 1.5 original distance
New time = (1.5 original distance) / (0.75 original speed)
To find the percent change in time, we can compare the new time to the original time:
Percent change in time = ((new time - original time) / original time) 100%
Simplifying the equation gives:
Percent change in time = ((1.5 - 1) / 1) 100%
Percent change in time = 50%