Question

A thief is seen by a policeman at a distance of x meters when the policeman starts chasing him with a speed of 75 km/h, the thief also starts running at the same time with a speed of 45 km/h. If the thief had run 900 m (after being seen by the policeman) before being caught by the policeman, what would be the value of x?

• A. 800
• B. 560
• C. 750
• D. 600

Answer 1

Answer:

D. 600

Solution: Given : A thief is seen by a policeman at a distance of x meters. Policeman starts chasing him with a speed of 75 km/h. Thief also starts running at the same time with a speed of 45 km/h. Calculation : Now, the time taken by Police man = time taken by thief to get caught ⇒ (x + 900)/75 = 900/45 ⇒ 45x + 45 × 900 = 900 × 75 ⇒ 45x = 900 × 30 ⇒ x = 27000/45 = 600 m ∴ The correct answer is 600 m.