Railways R.R.C. (Ajmer) Solved Paper Held on 1st Shift 2-11-2014

  • 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

    Correct Answer: A

    Solution :

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

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