reasoning Maths Puzzle

Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet.
How many miles does the pigeon travel?

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reasoning Other Question

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different.
How do you measure 45 minutes?
in ancient times, four mathematicions discoverd a games of logic.The four people were mr macdonald,mr franke,mr kennedy and mrs smarma. mr kennedy seated the other three people one behind the other so that mr macdonald saw franke and sharma and so that franke and sharma saw no one.
Mr kennedy had 5 hats which he showed to the mathematitians.three of the hats were grey and 2 white mr kennedy put a hat on each persons head and hid the remanig two hats in the box. "what colour id your hat mr macdonald?" asked mr kennedy mr macdonald did not know mr franke did not know the coulor of this hat either when asked.
ms sharma who couldent see ant hats at all, gave the correct awnser when asked the colour of his hat. what was the colour of her hat and how did she figure it out?