Jim, Kim, Mim, and Tim all went fishing. They each caught ine fish, They measured each fish to the nearest inch and weighed them to the nearest pound. When they lined the fish up end to end, the fish stretched from one edge of the 6-foot-long table to the other. The four fish weighed a total of 20 lbs.
*Tim's fish was the longest, and one of only two fish that were equal of weight.
*Jim's fish was 1 inch shorter than Tim's and 1 inch longer than Kim's
*Kim's fish was the shortest and lightest. It weighed a full 2 lbs lass than Mim's
*The weight of Jim's fish and Tim's fish combined was the same as the combined weight if Mim's fish anf Kim's fish.
*The shortest fish was 1 foot, 5 inches long.
it's very tricky for me and I don't understand....^^ thx for any help
Of course it is tricky. First, Kims fish is 1 foot, 5 inches. Then Jims is 1 foot, 6 inches. Then Tim's fish is 1 foot, 7 inches. Then the remainder of the six feet is Mim's fish.
Now do the same with weight. Start with The fact that tim and somebody else had equal weights.
but i thought that Tim jhad the longest fish...?
But Tim has the longest fish, not Mim (t=1 ft and 5in) (m=4 ft 6 in) CONFUSED!
To solve this puzzle, let's break down the information given and systematically eliminate possibilities until we find the correct solution. Let's analyze the information step by step:
1. Tim's fish was the longest, and one of only two fish that were equal in weight.
- This means that Tim's fish is the longest fish and has the same weight as one of the other fish.
2. Jim's fish was 1 inch shorter than Tim's and 1 inch longer than Kim's.
- This tells us that Jim's fish is 1 inch shorter than Tim's fish and 1 inch longer than Kim's fish.
3. Kim's fish was the shortest and lightest. It weighed a full 2 lbs less than Mim's.
- Kim's fish is both the shortest and the lightest fish, and it weighs 2 lbs less than Mim's fish.
4. The weight of Jim's fish and Tim's fish combined was the same as the combined weight of Mim's fish and Kim's fish.
- The combined weight of Jim's and Tim's fish is equal to the combined weight of Mim's and Kim's fish.
5. The shortest fish was 1 foot, 5 inches long.
- The shortest fish measures 1 foot, 5 inches in length.
Armed with this information, let's start forming some deductions:
From information 3, we know that Kim's fish is the shortest and lightest, so it cannot be Tim's or Jim's fish. Additionally, information 2 tells us that Jim's fish is 1 inch longer than Kim's fish, which means Kim's fish is not Jim's fish either. Therefore, we conclude that Kim's fish is Mim's fish.
Since Mim's fish is the shortest and lightest, it cannot be Jim's or Tim's fish. From information 2, we know that Jim's fish is 1 inch shorter than Tim's fish, so Mim's fish cannot be Jim's fish either. Therefore, we conclude that Mim's fish is Kim's fish.
Now let's determine who caught Jim's fish. Since we already assigned Mim's fish to Kim, we know that Jim did not catch Mim's fish. From information 2, Jim's fish is 1 inch longer than Kim's fish. Since Jim cannot have caught Mim's fish, Jim's fish must be Tim's fish.
Now that we know Jim's fish is Tim's fish, we can conclude that one of the two fish with equal weight is Tim's fish. This also means that the other fish with equal weight is not Mim's fish.
Finally, from information 4, the combined weight of Jim's and Tim's fish is the same as the combined weight of Mim's and Kim's fish. Since Jim's fish is Tim's fish and Mim's fish is Kim's fish, this tells us that Tim's fish and Jim's fish have the same combined weight as Mim's fish and Kim's fish.
Now, let's summarize the information we have deduced so far:
- Tim's fish is the longest and weighs the same as one of the other fish (which we now know is Jim's fish).
- Jim's fish is 1 inch shorter than Tim's fish and 1 inch longer than Kim's fish.
- Kim's fish is the shortest and lightest, weighing 2 lbs less than Mim's fish (which we now know is Kim's fish).
- The combined weight of Jim's and Tim's fish is the same as the combined weight of Mim's and Kim's fish.
From information 5, we know that the shortest fish is 1 foot, 5 inches long. Let's use this information to determine the length of each fish:
The length of the shortest fish is 1 foot, 5 inches. From information 2, we know that Jim's fish is 1 inch longer than Kim's fish. Therefore, Kim's fish must be 1 foot, 4 inches long, and Jim's fish must be 1 foot, 5 inches long.
Since Jim's fish is 1 inch shorter than Tim's fish, and Jim's fish is 1 foot, 5 inches long, we can deduce that Tim's fish must be 1 foot, 6 inches long.
Finally, since Mim's fish is the longest, and Kim's fish is shorter than Jim's fish, it must be 1 foot, 7 inches long.
Now let's summarize our findings:
- Tim's fish is 1 foot, 6 inches long.
- Jim's fish is 1 foot, 5 inches long.
- Kim's fish is 1 foot, 4 inches long.
- Mim's fish is 1 foot, 7 inches long.
From information 3, we know that Kim's fish weighs 2 lbs less than Mim's fish. Therefore, if Mim's fish weighs X lbs, Kim's fish weighs X-2 lbs.
From information 4, the combined weight of Jim's and Tim's fish is the same as the combined weight of Mim's and Kim's fish. This means that Jim's fish and Tim's fish weigh a total of X + (X-2) lbs.
We are also told that the combined weight of all four fish is 20 lbs. Therefore:
(X) + (X-2) + (X-2) + (X-2) = 20
Simplifying the equation:
4X - 6 = 20
Adding 6 to both sides:
4X = 26
Dividing both sides by 4:
X = 6.5
Therefore, Mim's fish weighs 6.5 lbs, and Kim's fish weighs 6.5 - 2 = 4.5 lbs.
To summarize the final findings:
- Tim's fish is 1 foot, 6 inches long and weighs 6.5 lbs.
- Jim's fish is 1 foot, 5 inches long and weighs 6.5 lbs.
- Kim's fish is 1 foot, 4 inches long and weighs 4.5 lbs.
- Mim's fish is 1 foot, 7 inches long and weighs 6.5 lbs.
I hope this step-by-step explanation helps you understand how to solve the puzzle.