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

Question

A ship A is moving Westwards with a speed of 10 k m h - 1 and a ship B 100 km south of A , is moving Northwards with a speed of 10 k m h - 1 . The time after which the distance between them becomes shortest, is:, 0 h, 5 h, 5 2 h, 10 2 h

MARKS App · Accepted Answer

Relative velocity of ship B is, V → B A = 10 2 + 10 2 = 10 2 k m p h Let shortest distance between ship A & B is AO, Distance O B = 100 cos ⁡ 45 o = 50 2 k m Hence time taken to reach the shortest distance, t = 50 2 10 2 = 5 h r s

Search any question & find its solution

Looking for more such questions to practice?