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A terrorist ‘A’ is walking at a constant...

A terrorist ‘A’ is walking at a constant speed of `7.5 km//hr` due West. At time `t = 0`, he was exactly South of an army camp at a distance of 1 km. At this instant a large number of army men scattered in every possible direction from their camp in search of the terrorist. Each army person walked in a straight line at a constant speed of `6 km//hr`.
(a) What will be the closest distance of an army person from the terrorist in this search operation?
(b) At what time will the terrorist get nearest to an army person?

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The correct Answer is:
(a) `(3)/(5) km` (b) `8min`
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