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CAT 1993 — QA Question 43

Relative SpeedEasy
Passage / Data

Directions for next 3 questions:

Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q’s speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.

How many hours would P take to reach B?

Answer & solution

  • A

    2

  • B

    5

  • C

    6

  • 12

Solution

Let the speed of P be x and the distance between A and B be d, so the speed of Q will be 2x.

According to the question, (1 + t)v = 2vt = d6 (Let t be the travel time of Q)

⇒ t = 1, and d = 12v

Hence, the time taken by P to reach to B = dv = 12 hours.

Hence, option (d).

CAT 1993 QA Q43: How many hours would P take to reach B? — Solution | TheCATExam