Final answer:
To find the percent increase in distance when the speed is increased by 20% and the time is increased by 50%, we can use the percent increase formula.
Step-by-step explanation:
To find the percent increase in distance, we can use the formula:
Percent Increase = (New Value - Original Value)/Original Value * 100%
Let's say the original distance is D. If the speed is increased by 20%, the new speed will be 1.2 times the original speed. If the time is increased by 50%, the new time will be 1.5 times the original time. The new distance can be calculated as:
New Distance = New Speed * New Time = 1.2 * D * 1.5 = 1.8D
Now, we can substitute the values into the percent increase formula:
Percent Increase = (1.8D - D)/D * 100% = 0.8D/D * 100% = 80%
Therefore, the distance will increase by 80%.