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A ship A is moving westwards with a speed of 10 km h-1 and a ship B 100 km south of A, is moving northwards with a speed of 10kmh-1 . The time after which the distance between them becomes shortest, is :

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a

5h

b

52

c

102

d

10

answer is A.

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Detailed Solution

v→BA=102+102=102kmphdistance OB = 100 cos45°=52kmTime taken to reach the shortest distance between A and B=502v→BA=502102tsn = 5 hrs.

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A ship A is moving westwards with a speed of 10 km h-1 and a ship B 100 km south of A, is moving northwards with a speed of 10kmh-1 . The time after which the distance between them becomes shortest, is :