⟩ A ship leaves on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is 10 times that of the ship is sent to deliver mail. How far from the shore does the seaplane catch upo with the ship?
Consider the speed of ship be a then the speed of plane is 10a;
Let t be the time taken by the ship to travel 18 miles then a= 18/t;
Speed of plane =180/t;
Distance covered by the ship during next t' time = 18+ 18*t'/t;
Distance covered by sea plane = 180*t'/t;
Equating both 162*t'/t =18 ;
t'/t = 18/162;
Distance to be covered = 180* 18/162 =20 miles ;
