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Three boys A,B and C are situated at the...

Three boys A,B and C are situated at the vertices of an equilateral triangle of side d at t=0. Each of the boys moves with constant speed v. A always moves towards B and B move toward C and C moves towards A, At what time and where they meet each other?

A

`(d)/(u)` seconds

B

`(2d)/(3u)` seconds

C

`(2d)/sqrt(3u)` seconds

D

`dsqrt(3u)` seconds

Text Solution

Verified by Experts

The correct Answer is:
B

`d_("rel")=d`
`u_("rel")=u+u cos 60^(@)=(3u)/(2)`
time
For general `d_("rel")=` side of polygon
`u_("rel")=u+u cos theta [theta= "Interior angle"]`
`t=("side of polygon")/(u+ucos theta)`
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