Delivery Dilemma. I have a problem where i need to figure out the order of a delivery route. The problem has eight stops in 2 rows. The top row from left to right is Green Grocer, Troys toys, tourist travel, and Myers tires. The second row is directly below and has Melodys Music, Hanks Bank, Peters Pets, and Retas Restaurant. I am supposed to fuill in the number on the route and the number of packages.
1. The second delivery is directly north of the first and has one fewer packages than the first.
2. Melodys Music needs all 5 packages delivered by 11AM
3. Each delivery takes 15 minutes.
4. the bank is never last and takes 4 packages.
5.Troys Toys takes the most packages equaling the sum of all the other packages.
6. Petes delievries are the first at 9:30AM
7. The fourth is directly east of the first and contains twice the number of packages.
8.The travel agancy and the pet store combined receive the same number of packages as the music store.
9. The 5th delivery contains 3 boxes.
10. The 3rd delivery is 2 stores west of the second.
11. the tire store, grocery store, and the pet store all receive the same number of packages. They are the only three to receive this exact amount.
Please help.
To solve this delivery route problem, we need to carefully analyze all the given information and deduce the order of the deliveries as well as the number of packages for each stop. Let's go step by step:
1. The second delivery is directly north of the first and has one fewer package than the first.
- This means the first delivery must have more than one package. Let's assume it has 2 packages since it is not mentioned explicitly.
- The second delivery is directly north, so it must be Melodys Music. And with one fewer package, it will have 1 package.
2. Melodys Music needs all 5 packages delivered by 11 AM.
- Since Melodys Music is the second delivery, there are only 2 packages left for other stops.
- Therefore, Melodys Music must have 5 packages.
3. Each delivery takes 15 minutes.
- This is additional information and doesn't directly affect the order or number of packages.
4. The bank is never last and takes 4 packages.
- The bank cannot be the last delivery, so it must be somewhere before the last.
- It takes 4 packages, so we know the bank must be either the first, second, third, or fourth delivery.
5. Troys Toys takes the most packages, equaling the sum of all the other packages.
- This means Troys Toys must have 12 packages since the sum of all other packages (2 + 1 + 5) is 8.
- Therefore, Troys Toys takes 12 packages.
6. Petes deliveries are the first at 9:30 AM.
- Since Pete's deliveries are the first, the top row should start with Pete's stop, which is the Green Grocer.
7. The fourth delivery is directly east of the first and contains twice the number of packages.
- Since Petes is the first delivery, the fourth delivery should be directly east of it. This means it should be Troys Toys.
- It also mentions that the fourth delivery contains twice the number of packages. Since Troys Toys takes 12 packages, the fourth delivery must have 24 packages.
8. The travel agency and the pet store combined receive the same number of packages as the music store.
- This means Melodys Music, the travel agency, and the pet store will have the same number of packages.
- Since Melodys Music has 5 packages, the total number of packages for these three stops is also 5.
9. The 5th delivery contains 3 boxes.
- The fifth delivery is directly north of the fourth, so it should be Hanks Bank.
- It contains 3 boxes.
10. The 3rd delivery is 2 stores west of the second.
- Since the second delivery is Melodys Music, the third delivery should be two stores west of it.
- This means the third delivery must be Green Grocer since there are no stores between Green Grocer and Melodys Music.
11. The tire store, grocery store, and the pet store all receive the same number of packages. They are the only three to receive this exact amount.
- Since the tire store, grocery store (Green Grocer), and pet store (Peters Pets) receive the same number of packages, and they are the only three with this exact amount, we can conclude that they each have 5 packages.
Now, let's summarize the information we have gathered so far:
Top Row (from left to right): Green Grocer (5 packages), Troys Toys (12 packages), Tourist Travel (?), Myers Tires (?)
Bottom Row (from left to right): Melodys Music (5 packages), Hanks Bank (3 packages), Peters Pets (5 packages), Retas Restaurant (?)
Since we have four stops with unknown number of packages, let's calculate the remaining packages based on the given information:
- The second delivery is directly north of the first and has one fewer package than the first.
- Green Grocer has 5 packages, so Tourist Travel must have 4 packages.
- The bank is never last and takes 4 packages.
- Since the bank is not the first delivery, it must be the second, third, or fourth.
- But since Troys Toys takes the most packages and there are 24 packages for the fourth delivery, the bank cannot be the second or the third.
- Therefore, the bank must be the fourth delivery.
- The travel agency and pet store have the same number of packages as the music store (5 packages total).
- Since the travel agency must be directly east of the second delivery, which is Melodys Music, the travel agency must be next to Melodys Music on the bottom row.
- Peters Pets must be the remaining stop on the bottom row, which means the pet store and the travel agency must share the 5 packages.
- So, both the pet store and the travel agency have 5 packages each.
Now let's fill in the route and the number of packages:
1. 9:30 AM - Green Grocer - 5 packages
2. 9:45 AM - Melodys Music - 5 packages
3. 10:00 AM - Green Grocer (2 stores west of Melodys Music) - 5 packages
4. 10:15 AM - Myers Tires (directly east of Green Grocer) - 24 packages
5. 10:30 AM - Hanks Bank (directly north of Myers Tires) - 3 packages
6. 10:45 AM - Peters Pets (directly east of Hanks Bank) - 5 packages
7. 11:00 AM - Tourist Travel (directly north of Peters Pets) - 4 packages
8. 11:15 AM - Retas Restaurant (directly east of Tourist Travel) - 0 packages
Note: The number of packages for Retas Restaurant is not mentioned explicitly, so it is assumed to be 0 since all packages are already delivered at this point.
I hope this helps you solve your delivery route problem!