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Q.

Six persons A, B, C, D, E, F are initially at the corners of a regular hexagon of side of length d. If every person starts moving with the same speed v such that A is always headed towards B, B towards C, C is headed directly towards D and D towards E, E towards F, then the six persons will meet after time

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a

2dvsec

b

2dvsec

c

d2vsec

d

dvsec

answer is A.

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Detailed Solution

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The component of velocity towards the other person is vcos60=v2.

Due to symmetry they meet at the centre of the hexagon.

So the distance travelled is d.

The time taken, t=dv2=2dv

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