MHB Calculating Boat Costs: Splitting 60/40 & Time Usage

Click For Summary
The discussion revolves around calculating the actual weekly cost of boat maintenance when costs are split 60/40 between two friends. One friend pays 60% of the costs but uses the boat less frequently, having it 5/8 of the time compared to the other friend's 3/8. It is clarified that despite the time usage, the agreed cost split means the first friend pays 60% of the total maintenance cost. However, based on usage, the first friend should actually be responsible for 62.5% of the costs. The conclusion emphasizes that the time spent using the boat impacts the fair distribution of costs.
ger1
Messages
1
Reaction score
0
Hi, I am struggling with a calculation.
A boat costs x to maintain and I and a friend decide to split the costs 60/40, where I put in 60% of the cost.
However, I will have the boat less than my friend, he will have it 3/8 of the time and I will have it 5/8 of the time.

So what is my actual cost on a weekly basis - it doesn't seem right to just multiply 60% by 5/8.
 
Mathematics news on Phys.org
ger said:
Hi, I am struggling with a calculation.
A boat costs x to maintain and I and a friend decide to split the costs 60/40, where I put in 60% of the cost.
However, I will have the boat less than my friend, he will have it 3/8 of the time and I will have it 5/8 of the time.

So what is my actual cost on a weekly basis - it doesn't seem right to just multiply 60% by 5/8.
You mean your friend will have the boat less than you since 3/8< 5/8. But if you have already agreed to pay 60% the "5/8 versus 3/8" is irrelevant. The cost to you is .6 times x.

(5/8= 0.625 or 62.5%. You should actually be paying 62.5% of the cost!)
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
38
Views
7K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
22
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K