CAT 2003 Slot 1QA Question 13

2 CirclesEasy
Passage / Data

Answer the following question based on the information given below.

A city has two perfectly circular and concentric ring roads, the outer ring road (OR) being twice as long as the inner ring road (IR). There are also four (straight line) chord roads from E1, the east end point of OR to N2, the north end point of IR; from N1, the north end point of OR to W2, the west end point of IR; from W1, the west end point of OR, to S2, the south end point of IR; and from S1, the south end point of OR to E2, the east endpoint of IR. Traffic moves at a constant speed of 30π km/hr on the OR road, 20π km/hr on the IR road, and km/hr on all the chord roads.

Amit wants to reach E2 from N1 using first the chord N1 – W2 and then the inner ring road. What will be his travel time in minutes on the basis of information given in the above question?

Answer & solution

  • A

    60

  • B

    45

  • C

    90

  • 105

Solution

Total distance to be travelled, chord N1– W2 + W2– E2 arc of the Inner Ring road

Given the speeds,

Total time required to travel from N1 to E25r155+πr20π

=r15+r20

=35r300=35×15300= 74 hrs

= 105 minutes

Hence, option (d).

CAT 2003 Slot 1 QA Q13: Amit wants to reach E2 from N1 using first the chord N1 – W2 and then the inner ring road. What will be — Solution | TheCATExam