Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Question:

In 900 meters race, Ram gives Shyam a start of 150 meters, and defeats him by 50 seconds. If the speed of Ram is 4.5 m/sec, then speed of Shyam is

Options:

3.5 m/sec

2 m/sec

3 m/sec

5 m/sec

Correct Answer:

3 m/sec

Explanation:

The correct answer is Option (3) → 3 m/sec

Given:

Race distance: 900 m

Ram gives Shyam a start: 150 m → Shyam runs 750 m

Ram defeats Shyam by 50 seconds

Speed of Ram: $v_R = 4.5$ m/sec

Time taken by Ram: $t_R = \frac{900}{4.5} = 200$ sec

Time taken by Shyam: $t_S = t_R + 50 = 200 + 50 = 250$ sec

Distance Shyam runs: 750 m

Speed of Shyam: $v_S = \frac{750}{250} = 3$ m/sec