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Question: Six person are situated at the corners of a hexagon of side l. They move at a constant speed v. Each...

Six person are situated at the corners of a hexagon of side l. They move at a constant speed v. Each person maintains a direction towards the person at the next corner. When will the person meet?

A

l/v

B

2l/3v

C

3l/2v

D

2l/v

Answer

2l/v

Explanation

Solution

t = lvAB=lvA−vBinthedirectionofA\frac{l}{v_{AB}} = \frac{l}{v_{A} - v_{B}inthedirectionofA} =

lv−vcos⁡60=2lv\frac{l}{v - v\cos 60} = \frac{2l}{v}