Bodhee Prep-Online CAT Coaching | Online CAT Preparation | CAT Online Courses

Get 10% OFF on CAT 24 Course. Code: BODHEE10. valid till 3rd Dec Enroll Now
| Best Online CAT PreparationFor Enquiry CALL @ +91-95189-40261

# CAT 2020 Quant Question [Slot 2] with Solution 14

Question

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. 4
2. 3
3. 2
4. 5
Option: 2
Solution:

Time taken by each of them to complete one round

$= \frac{{{\text{Circumference of the circle}}}}{{{\text{speed}}}}$

Time taken for Ram to cover one round $= \frac{{2\pi \times 100}}{{15 \times 5/18}} = 48\pi$

Time taken for Rahim to cover one round $= \frac{{2\pi \times 20}}{{5 \times 5/18}} = 28.8\pi$

Time taken by Ram and Rahim meet each other for the first time $= LCM$ of $48\pi$ and $28.8\pi = 144\pi$

$\therefore$ Number of rounds made by Ram before he meets Rahim for the first time $= \frac{{144\pi }}{{48\pi }} = 3$

CAT Online Course @ INR 12999 only

## CAT 2020 Quant questions with Solutions

#### CAT 2023 Mock Test Series

• 400+ Topic Tests
• 45 Sectional tests
• 20 Mock Tests (Video Solutions)
• Only at INR 2499

20% Discount Code: GET20

FREE CAT Prep Whatsapp Group

CAT 2023 Online Course at affordable price