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CAT 2004 — QA Question 3

Linear RaceEasy

Karan and Arjun run a 100 metre race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

Answer & solution

  • A

    Karan and Arjun reach the finishing line simultaneously.

  • B

    Arjun beats Karan by 1 metre.

  • C

    Arjun beats Karan by 11 metres.

  • Karan beats Arjun by 1 metre.

Solution

In the first race when Karan runs 100 m, Arjun runs 90 m.

∴ Ratio of Karan’s and Arjun’s speed = 10 : 9

In the second race, when Karan runs 110 m, Arjun runs 110×910 = 99 m

∴ Karan beats Arjun by 1 m.

Hence, option (d).

CAT 2004 QA Q3: Karan and Arjun run a 100 metre race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan sta — Solution | TheCATExam