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CAT 2005 — QA Question 7

Relative SpeedEasy
Passage / Data

Answer the next 2 questions based on the information given below.

Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at  a speed of 10 km/hr, reaches B and comes back to A at the same speed.

At what time does Shyam overtake Ram?

Answer & solution

  • A

    10:20 a.m.

  • 10:30 a.m.

  • C

    10:40 a.m.

  • D

    10:50 a.m..

Solution

Ram reaches B at 10.00 a.m. while Shyam reaches B at 10:15 a.m.

At 10:15 a.m., Ram is (15/60) × 5 = 1.25 km away from B.

Shyam overtakes Ram 1.25/(10 – 5) = 0.25 hrs = 15 minutes after 10:15 a.m., i.e. at 10:30 a.m.

Hence, option (b).

CAT 2005 QA Q7: At what time does Shyam overtake Ram? — Solution | TheCATExam