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Two ships A and B are sailing away from ...

Two ships A and B are sailing away from a point O along routes such that `angle AOB` is always `120^(@)`. At a certain instance, OA = 8 KM OB = 6km and the ship A is sailing at the rate of 20 km/hr while the ship B sailing at the rate of 30km/hr while the ship B sailing at the rate of 30 km/hr. Then the distance between A and B is changing at the rate (in km/hr)

A

`(260)/(sqrt(37))`

B

`(260)/(37)`

C

`(80)/(sqrt(37))`

D

`(80)/(37)`

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The correct Answer is:
A
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