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?
Submitted by: AdministratorConsider 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 ;
Submitted by: Administrator
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 ;
Submitted by: Administrator
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