• # question_answer 19) A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr. how far the thief will have run before he is overtaken? A) 400 m.B)               800 m.C) 200 m.             D) None of these

Required distance $\frac{(x+100)18}{10\times 5}=\frac{x\times 18}{8\times 5}$ $\Rightarrow$   $x+100=\frac{5}{4}x$ $\Rightarrow$   $\frac{4x-5x}{4}=-100$ $\Rightarrow$   $x=400\,\,m$