# 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

### Mohammed

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get 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 from screen.

## [Solution] 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

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 - To complete one round Ram takes 100m/15kmph and Rahim takes 20m/5kmph They meet for the first time after L.C.M of (100m/15kmph , 20m/5kmph) = 100m/5kmph=20m/kmph. Distance traveled by Ram =20m/kmph * 15kmph =300m. So, he must have ran 300/100=3 rounds. **Note:** CAT gave both 2 and 3 as correct answers because of the word '**before**'.

### CAT 2020 Slot 2 Question 64

Question 64

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

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Solution

To complete one round Ram takes 100m/15kmph and Rahim takes 20m/5kmph

They meet for the first time after L.C.M of (100m/15kmph , 20m/5kmph) = 100m/5kmph=20m/kmph.

Distance traveled by Ram =20m/kmph * 15kmph =300m.

So, he must have ran 300/100=3 rounds.

**Note:**

CAT gave both 2 and 3 as correct answers because of the word '**before**'.

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## Quantitative Aptitude

Quantitative Aptitude - TSD - Two circular tracks T1 and T2 of radii 100 m and 20 m Slot - 2 - Quantitative Aptitude - TSD - Two circular tracks T1 and T2 of radii 100 m and 20 m Q. Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A.

## Quantitative Aptitude – TSD – Two circular tracks T1 and T2 of radii 100 m and 20 m

Quantitative Aptitude – TSD – Two circular tracks T1 and T2 of radii 100 m and 20 m Slot – 2 – Quantitative Aptitude – TSD – Two circular tracks T1 and T2 of radii 100 m and 20 m

**Q. 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 ?**

3 2 4 5

**Answer: 3**

**Solutions:**

Length of track T1 = Circumference of T1 = 2πr=2×3.14×100=614

Length of track T2 = Circumference of T2 = 2πr=2×3.14×20=122.8

So ratio of length = 614/122.8 = 5:1

Ratio of speed = 15 : 5 = 3:1

Ratio of time to cover their respective track = 5/3 : 1 = 5:3

Thus when Ram will make 3 rounds of T1 Rahim will make 5 round of T2 and they will meet at A again.

Thus the required answer = 3

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## [Solved] Two circular tracks T1 and T2 of radii 100 m and 20 m, respe

Calculation: Circumference of T1 = 2πr1 = 2 × 3.14 × 100 = 614 Circumference of T2 = 2πr2 = 2 × 3.14 × 20 = 122.8 Ratio of leng

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## Question

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## 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

2 5 3 4

## Answer (Detailed Solution Below)

Option 3 : 3 Crack with

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## Detailed Solution

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**Calculation:**

Circumference of T1 = 2πr1 = 2 × 3.14 × 100 = 614

Circumference of T2 = 2πr2 = 2 × 3.14 × 20 = 122.8

Ratio of length = 614 : 122.8 = 5 : 1

Speed ratio = 15 : 5 = 3 : 1

Ratio of time to cover the tracks = (5/3) : 1 = 5 : 3

When Ram will make 3 rounds of T1 Rahim will make 5 round of T2 so both will meet again at point A

**∴ The number of full rounds that Ram makes before he meets Rahim for the first time time is 3.**

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