A letter carrier can deliver mail to 112 homes per hour by walking and 168 homes per hour by driving.
Question1: By what percent is productivity increased by driving?
Question2: If a new ZIP Code system improves driving productivity by 12.5%, what is the new number of homes per hour for driving?
Question 1: By what percent is productivity increased by driving?
Well, if a letter carrier can deliver 112 homes per hour by walking and 168 homes per hour by driving, the increase in productivity can be calculated using the following formula:
Increase in productivity = ((New Value - Old Value) / Old Value) × 100%
In this case, the old value is 112 homes per hour, and the new value is 168 homes per hour. So, let's do some math!
Increase in productivity = ((168 - 112) / 112) × 100%
Increase in productivity = (56 / 112) × 100%
Increase in productivity = 0.5 × 100%
Increase in productivity = 50%
Therefore, the productivity is increased by 50% when driving.
Question 2: If a new ZIP Code system improves driving productivity by 12.5%, what is the new number of homes per hour for driving?
To find the new number of homes per hour for driving, we need to multiply the current number (168) by the improvement percentage (12.5%) and add it to the current number.
New number of homes per hour for driving = 168 + (168 × 12.5%)
New number of homes per hour for driving = 168 + (168 × 0.125)
New number of homes per hour for driving = 168 + 21
New number of homes per hour for driving = 189
Therefore, the new number of homes per hour for driving, with the improved ZIP Code system, is 189.
To find the percent increase in productivity when driving compared to walking, you can use the formula:
Percent Increase = ((New Value - Old Value) / Old Value) * 100
Let's calculate the answers to your questions:
Question 1:
Old Value = Number of homes delivered per hour by walking = 112
New Value = Number of homes delivered per hour by driving = 168
Percent Increase = ((168 - 112) / 112) * 100
Percent Increase = (56 / 112) * 100
Percent Increase = 0.5 * 100
Percent Increase = 50%
So, driving increases productivity by 50%.
Question 2:
Since the new ZIP Code system improves driving productivity by 12.5%, we need to calculate the new number of homes delivered per hour by driving.
Old Value = Number of homes delivered per hour by driving = 168
Percent Increase in productivity = 12.5%
New Value = Old Value + (Old Value * Percent Increase)
New Value = 168 + (168 * 0.125)
New Value = 168 + 21
New Value = 189
Therefore, the new number of homes per hour for driving is 189.
To calculate the percentage increase in productivity by driving, we need to find the difference between the number of homes delivered by driving and walking, and then divide that difference by the number of homes delivered by walking. Here's how to do it:
Question 1:
Step 1: Subtract the number of homes per hour by walking from the number of homes per hour by driving: 168 homes/hour - 112 homes/hour = 56 homes/hour.
Step 2: Divide the difference by the number of homes per hour by walking: 56 homes/hour / 112 homes/hour = 0.5.
Step 3: Multiply the result by 100 to convert it to a percentage: 0.5 * 100 = 50%
The productivity is increased by 50% when driving compared to walking.
Now, let's move on to question 2:
Question 2:
Step 1: Calculate the percentage improvement in driving productivity by the new ZIP Code system: 12.5%.
Step 2: Add the percentage improvement to 100%: 100% + 12.5% = 112.5%.
Step 3: Multiply the original number of homes per hour by driving (168 homes/hour) by the new percentage: 168 homes/hour * 112.5% = 189 homes/hour.
Therefore, with the improved ZIP Code system, the new number of homes per hour for driving would be 189 homes/hour.
(168 - 112) / 112 = ?
Multiply the answer by 100.
168 * 0.125 = ?