Multiple choice

A police saw a Thief at a distance of 2km. When Police started chasing him Thief also started running. If the ratio of Speeds of Police to Thief is 5:4. Then thief was caught at a certain distance then how many Kms did police run to catch the Thief?

  1. 5 Km

  2. 6 Km

  3. 8 Km

  4. 10 Km

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Since the ratio of speeds is 5:4, the distances covered in the same time are also in a 5:4 ratio. Let distance of police be 5x and thief be 4x. The initial gap is 2km, so 5x - 4x = 2km, meaning x = 2. Police distance = 5 * 2 = 10 km.

AI explanation

Using the concept of relative speed, the ratio of distances covered equals the ratio of speeds. Let the distance the police runs be D, so D divided by (D minus 2) equals 5 divided by 4. Solving this equation gives 4D equals 5D minus 10, meaning D equals 10. The result is 10 km.

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