A boat sails a distance of 44 km in 4 hours with the current It takes 4 hours 48 minutes longer to c...

Question

A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours 48 minutes longer

to cover the same distance against the current. Find the speed of the boat in still water and the

speed of the current.

Accepted Answer

Lets assume the speed of the boat in still to be x kmhr And the speed of the current y kmhr Speed of the boat in the direction of current x y kmhr Speed of the boat against the current x y kmhr We know distance speed x time Then according to the given conditions in the problem we have 44 x y x 4 x y 444 x y 11 i And x y 5 ii Now adding equations i and ii we have x y 11 x y 5 2x 16 x 162 x 8 On substituting the value of x in i we get 8 y 11 y 11 8 y 3 Therefore the speed of the boat in still water 8 kmhr and speed of the current 3 kmhr

ML Aggarwal Solutions Class 9 Mathematics Solutions for Problems on Simultaneous Linear Equations Exercise 6 in Chapter 6 - Problems on Simultaneous Linear Equations