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Answer to Q161

You are given two ropes with different lengths. However if you set both ropes of fire from the tip, they will both burn at exactly one hour.

You are asked to measure 45 minutes using just these two ropes and you and NOT allowed to cut the ropes at all.

How will you do this?


1. Burn one of the ropes from both ends. The rope will burn completely at half time (i.e. 30 minutes).

2. Also burn the other rope from one end at the same time. At the time rope #1 completely burns, rope #2 will be half length. That is, it now has 30 minutes left to burn.

3. Immediately set the other side of rope #2 on fire too. It will burn at half the time left (i.e. 15 minutes).

4. Let rope #2 burn completely too.

You have successfully measured 30minutes + 15 minutes = 45 minutes.

Answer to Q161

You are given two ropes with different lengths. However if you set both ropes of fire from the tip, they will both burn at exactly one hour.

You are asked to measure 45 minutes using just these two ropes and you and NOT allowed to cut the ropes at all.

How will you do this?


1. Burn one of the ropes from both ends. The rope will burn completely at half time (i.e. 30 minutes).

2. Also burn the other rope from one end at the same time. At the time rope #1 completely burns, rope #2 will be half length. That is, it now has 30 minutes left to burn.

3. Immediately set the other side of rope #2 on fire too. It will burn at half the time left (i.e. 15 minutes).

4. Let rope #2 burn completely too.

You have successfully measured 30minutes + 15 minutes = 45 minutes.


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