**Question:**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 end point of IR. Traffic moves at a constant speed of \(30\pi\) km/hr on the OR road, \(20\pi\) km/hr on the IR road, and 15 5 km/hr on all the chord roads.

The ratio of the sum of the lengths of all chord roads to the length of the outer ring road is

- \(\sqrt 5 :2\)
- \(\sqrt 5 :2\pi \)
- \(\sqrt 5 :\pi \)
- None of the above.

## CAT Quant Questions with Video Solutions

- CAT Quant Questions Set 01
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- CAT Quant Questions Set 06