CAT 1997QA Question 45

Relative SpeedEasy
Passage / Data

Answer the next 2 questions based on the following information.

A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 km/hr. He was then chased by a policeman X. X started the chase, 15 min after the thief had started, at a speed of 65 km/hr.

If another policeman had started the same chase along with X, but at a speed of 60 km/hr, then how far behind was he when X caught the thief?

Answer & solution

  • A

    18.75 km

  • 15 km

  • C

    21 km

  • D

    37.5 km

Solution

Every hour the second policeman covers (65 – 60) = 5 km less than the first one. Since the first policeman catches the thief in 3 hr, in this time the second policeman will be (3 × 5) = 15 km behind.

CAT 1997 QA Q45: If another policeman had started the same chase along with X, but at a speed of 60 km/hr, then how far behind — Solution | TheCATExam