Explanation:
To determine the change in the time of travel when the speed is increased by 25% and the total distance is increased by 60%, we need to consider the relationship between speed, distance, and time.
Let's assume the original speed of the car is 100 units (you can use any unit of measurement as long as you remain consistent throughout the calculation).
If the speed is increased by 25%, the new speed would be 100 + (25% of 100) = 100 + 25 = 125 units.
Now, let's assume the original total distance is 100 units.
If the total distance is increased by 60%, the new distance would be 100 + (60% of 100) = 100 + 60 = 160 units.
To find the time of travel, we can use the formula: time = distance / speed.
The original time of travel would be 100 units (distance) divided by 100 units (speed), which equals 1 unit of time.
The new time of travel would be 160 units (new distance) divided by 125 units (new speed), which equals 1.28 units of time.
To calculate the percentage change in time, we can use the formula: percentage change = (new value - old value) / old value * 100.
The percentage change in time would be (1.28 - 1) / 1 * 100 = 0.28 / 1 * 100 = 28%.
Therefore, the time of travel would increase by 28% when the speed is increased by 25% and the total distance is increased by 60%.
Please let me know if you need any further clarification.