TS Police SI Prelims 2022 · Question 37

Question 37 of the TSLPRB SI Preliminary Written Test 2022 (7 August 2022). Try it first, then open the answer and explanation.

1. SI Prelims 2022 · Q37 · Arithmetic · Time, Speed & Distance

   In a race of 1200 meters, A can beat B by 120 meters and in a race of 800 meters B can beat C by 40 meter. In a race of 400 meters by how many meters can A beat C ?

   1. 58
   2. 42
   3. 60
   4. 54

   1200 మీ. ల పరుగు పందెంలో B ని A 120 మీ. ల తేడాతో ఓడించగలడు మరియు 800 మీ. ల పరుగు పందెంలో C ని 40 మీ. ల తేడాతో B ఓడించగలడు. 400 మీ. ల పరుగు పందెంలో C ని ఎన్ని మీటర్ల తేడాతో A ఓడించగలడు ?

   1. 58
   2. 42
   3. 60
   4. 54
   Show answer

   Answer: (1) 58

   సమాధానం: (1) 58

   While A runs 1200 m, B runs 1080 m, so B runs 9/10 of A's distance. While B runs 800 m, C runs 760 m, so C runs 19/20 of B's distance. When A runs 400 m, C runs 400 × 9/10 × 19/20 = 342 m, so A beats C by 58 m.

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