CAT 1995QA Question 18

Linear RaceEasy

In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?

Answer & solution

Correct answer: 11.11 m

  • 11.11 m

  • B

    10 m

  • C

    12 m

  • D

    25 m

Solution

In the same time as A runs 200 m in the race, S runs 180 m and N runs 160 m.
In other words, in the same time as S runs 180 m, N runs 160 m.
So in the same time as S runs 100 m, N will run (100×160180) = 88.89 m.

Hence, in a 100 m race, S will beat N by (100 – 88.89) = 11.11 m.

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CAT 1995 QA Q18: In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly s — Solution | TheCATExam