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Two policemen were together at a round junction. Each had a walkie talkie. The maximum distance at which one could communicate with the other was 2.5 km. One of the policemen walked due East at 3.2 km/h while the other walked due North at 2.4 km/h. The policeman who headed East travelled for x km while the one who headed North
travelled for y km before they were unable to communicate.
(a) Draw a sketch to represent the relative positions of the policemen.
(b) (i) From the information above from two simultaneous equations in x and y.
(ii) Find the values of x and y.
(iii) Calculate the time taken before the policemen were unable to communicate.