# CAT 2020 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Quants Questions | Question 19

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Question 19 : Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T1 and track T2 at speeds 15 km/hr and 5 km/hr respectively. The number of full rounds that Ram will make before he meets Rahim again for the first time is

1. 5
2. 3
3. 4
4. 2

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R1 = 100m and R2 = 20m
Speed of Ram = 15km/hr and Rahim’s speed = 5km/hr
Time taken by Ram = $$frac{2π$100$}{15})
Time taken by Rahim = $$frac{2π$20$}{5})
Ratio of the time taken by Ram : Rahim = 5 : 3
After 15 units of time Ram and Rahim will be at starting point and meeting
That time ram would have done 3 rounds

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