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How can you measure exactly 45 minutes using two ropes?
Here's one solution that can be used to measure exactly 45 minutes using the two ropes: 1. Light both ends of the first rope and one end of the second rope at the same time. 2. The first rope will burn completely in 30 minutes, and the second rope will have burned halfway in the same amount of timeRead more
Here’s one solution that can be used to measure exactly 45 minutes using the two ropes:
1. Light both ends of the first rope and one end of the second rope at the same time.
2. The first rope will burn completely in 30 minutes, and the second rope will have burned halfway in the same amount of time (i.e., 30 minutes).
3. At this point, light the second end of the second rope. It will take an additional 15 minutes for the second rope to burn completely (since the first half took 30 minutes to burn and the second half will take another 30 minutes to burn, but it’s already been burning for 30 minutes, so only 15 minutes remain).
4. Once the second rope has burned completely, exactly 45 minutes will have passed. Use this time to open the safe, disarm the bomb, and get out of the room!
This solution works because the first rope burns completely in 30 minutes, which is halfway between 10 and 50 minutes. By lighting the second rope at the same time, it ensures that we can measure up to 60 minutes. By then lighting the second end of the second rope after 30 minutes, we ensure that only 15 minutes remain for it to burn completely, giving us a total of 45 minutes.
See lessWho can answer the Bridge and Torch Puzzle?
Here is a solution for the four friends to cross the bridge in the fastest possible time: 1. A and B cross the bridge together, taking 2 minutes (B is the slower one). 2. A goes back with the torch, taking 1 minute. 3. C and D cross the bridge together, taking 10 minutes (D is the slower one). 4. BRead more
Here is a solution for the four friends to cross the bridge in the fastest possible time:
1. A and B cross the bridge together, taking 2 minutes (B is the slower one).
2. A goes back with the torch, taking 1 minute.
3. C and D cross the bridge together, taking 10 minutes (D is the slower one).
4. B goes back with the torch, taking 2 minutes.
5. A and B cross the bridge together, taking 2 minutes (B is the slower one).
6.Total time taken so far is 2 + 1 + 10 + 2 + 2 = 17 minutes, which is the torch’s battery life.
7. C goes back with the torch, taking 5 minutes.
8. A and B cross the bridge together, taking 2 minutes (B is the slower one).
9. Total time taken is 17 + 5 + 2 = 24 minutes.
Thus, the four friends can cross the bridge in a total of 24 minutes by following this plan.
See lessHow can you measure out exactly 4 gallons of water?
Here is a step-by-step solution to measure out exactly 4 gallons of water using a 3-gallon jug and a 5-gallon jug: 1. Fill the 3-gallon jug completely with water. 2. Pour the water from the 3-gallon jug into the 5-gallon jug. 3. Fill the 3-gallon jug completely with water again. 4. Pour the water frRead more
Here is a step-by-step solution to measure out exactly 4 gallons of water using a 3-gallon jug and a 5-gallon jug:
1. Fill the 3-gallon jug completely with water.
2. Pour the water from the 3-gallon jug into the 5-gallon jug.
3. Fill the 3-gallon jug completely with water again.
4. Pour the water from the 3-gallon jug into the 5-gallon jug until the 5-gallon jug is full (it should have 2 gallons of water in it now).
5. You should now have 1 gallon of water left in the 3-gallon jug. Empty the 5-gallon jug completely.
6. Pour the remaining 1 gallon of water from the 3-gallon jug into the 5-gallon jug.
7. Fill the 3-gallon jug completely with water again.
8. Pour as much water as you can from the 3-gallon jug into the 5-gallon jug until it is full. You should have 4 gallons of water in the 5-gallon jug now.
Thus, you have measured out exactly 4 gallons of water using only a 3-gallon jug and a 5-gallon jug.
See lessHow can you come up with exactly three glasses each containing two units of water?
Yes, it is possible to end up with exactly three glasses each containing two units of water. Here's how: 1. Fill the first glass with water. Pour the contents of the first glass into the second glass. 2. Fill the first glass with water again. Pour the contents of the second glass into the third glasRead more
Yes, it is possible to end up with exactly three glasses each containing two units of water. Here’s how:
1. Fill the first glass with water.
Pour the contents of the first glass into the second glass.
2. Fill the first glass with water again.
Pour the contents of the second glass into the third glass.
3. Empty the second glass.
Pour the contents of the first glass into the second glass.
4. Pour the contents of the third glass into the second glass.
5. Fill the third glass with water.
Pour the contents of the third glass into the first glass.
6. Pour the contents of the second glass into the third glass.
7. Empty the second glass.
8. Pour the contents of the third glass into the second glass.
9. Pour the contents of the first glass into the second glass.
10. Pour the contents of the third glass into the first glass.
At this point, the first, second, and third glasses each contain two units of water.
See lessHow can you determine which switch corresponds to which light bulb?
Here is a solution to the problem: Turn on the first switch and leave it on for a few minutes. Turn off the first switch and turn on the second switch. Enter the room. Now, you will find that: The bulb that is on is connected to the second switch. The bulb that is off and feels warm to the touch isRead more
Here is a solution to the problem:
Turn on the first switch and leave it on for a few minutes.
Turn off the first switch and turn on the second switch.
Enter the room.
Now, you will find that:
The bulb that is on is connected to the second switch.
See lessThe bulb that is off and feels warm to the touch is connected to the first switch.
The bulb that is off and is cold to the touch is connected to the third switch.