SSC GD 2023 PYQ — Question 43

SSC GD Constable (English) - 12 Jan 2023 - Shift 3 (Set 2) • Quantitative Aptitude • Q43

Aravind runs 5/4 times as fast as Bhanu. In a race, if Aravind gives a 60-meter lead to Bhanu, find the distance from the starting point where both of them will meet.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 300 m

Given that

Aravind runs 5/4 times as fast as Bhanu

Let the speed of Bhanu be 4x

The speed of Aravind will be 5x

The distance traveled by Aravind is L meter

then the distance traveled by Bhanu is (L - 60) meter

According to the question

Time is constant so the Distance ratio is directly proportional to the speed ratio

⇒ (L - 60)/L = 4X/5X

⇒ 5L - 300 = 4L

⇒ L = 300 meters

Hence, the distance from the starting point where both of them will meet is 300 meters.