CAT 1994 | Question: 72

Question

Four friends start from four towns, which are at the four corners of an imaginary rectangle. They meet at a point which falls inside the rectangle, after travelling distances of4O, 50, and 60 metres. The maximum distance that the fourth could have travelled is (approximately):

• A. 67 metres
• B. 52 metres
• C. 22.5 metres
• D. Cannot be determined

Answer 1

We need to pair up the distances in a way such that, D's distance is to be maximum.

∴ OC² + OB² = OA² + OD²

   60² + 50² = 40² + OD²

   ( 3600 + 2500) = 1600 + OD²

   (6100 - 1600) = OD²

   OD = √4500

   ∴ OD = 67.08

The ans. will be A. 67 metres .