A string burns in 60 seconds, however, some sections burn at different speeds. a

Question

A string burns in 60 seconds, however, some sections burn at different speeds. a) Prove If you connect the two ends then the string would burn in 30 seconds. b) How would you meassure 45 seconds with two strings? Give a proof.(assuming both strings burn in seconds) A string burns in 60 seconds, however, some sections burn at different speeds. a) Prove If you connect the two ends then the string would burn in 30 seconds. b) How would you meassure 45 seconds with two strings? Give a proof.(assuming both strings burn in seconds) a) Prove If you connect the two ends then the string would burn in 30 seconds. b) b) How would you meassure 45 seconds with two strings? Give a proof.(assuming both strings burn in seconds)

Explanation / Answer

1. Since it is burning from both ends so time will be half

2. We have two ropes A and B. Light A from both the ends and B from one end. When A is finished burning we know that 30 minutes have elapsed and B has 30 minutes remaining. Now, light the other end of B also so that remaining part of B will burn at double speed taking 15 minutes to burn. Thus, we have got 30+15 = 45 minutes.

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