Miscellaneous problems in mathematics

A man can ride a boat in calm water with u ms-1 continuous velocity. A dog can swim in calm water v ms-1 continuous velocity. The man and dog both stay on the same bank of a straight river on points A,B respectively which is flowing with V ms-1 continuous velocity of width a meters. The length of AB is d meters. AB is in the direction of V(V u v).The man ride the boat across the river such that he can reach the point C which is situated directly opposite to the point A. Show that ,the time taken by him to move from A to C is given by a u2-V2 seconds.

Autorentext

Adambarage Charles Wimal Lalith De Alwis was born twenty fifth of November in the year nineteen sixty three and he got education at prince of wales college in Moratuwa. Subsequently he obtained his Ph.D from theUniversity of Bombay in India in the field of elementary particle physics.This book is dedicated to his mother late P.G.N.S Samarawickrama.

Klappentext

A man can ride a boat in calm water with u mscontinuous velocity. A dog can swim in calm water v mscontinuous velocity. The man and dog both stay on the same bank of a straight river on points A,B respectively which is flowing with V mscontinuous velocity of width a meters. The length of AB is d meters. AB is in the direction of V(V).The man ride the boat across the river such that he can reach the point C which is situated directly opposite to the point A. Show that ,the time taken by him to move from A to C is given by 22 seconds.