two ropes

This week’s brain teaser comes from IitianWay, and I’d like to thank him for communicating it with me:

I have two ropes. Both are 1 meter long. Both will burn for exactly 1 hour. However, the speed with which they burn need not be evenly distributed over a rope. For example, the first 30 cm may burn in 30 seconds, while the other 70 cm takes the remaining 59,5 minute to burn.

How can I use them to measure 45 minutes?

As usual, you are most welcome to report your solution times and comment on the solution, but please do not give the answer – that may spoil the fun for others. I will publish the solution in one or two weeks after posting the puzzle.

You can check your solution here