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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?
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A police saw a Thief at a distance of 2km. When Police started chasing...
Problem Statement:

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?


Solution:


Step 1: Identify the Given Parameters


  • Distance between Police and Thief = 2km

  • Ratio of Speeds of Police to Thief = 5:4



Step 2: Calculate the Speeds of Police and Thief


  • Let the speed of Police be 5x kmph

  • Let the speed of Thief be 4x kmph



Step 3: Calculate the Time taken by Police and Thief


  • Let the time taken by Police to catch the Thief be t hours

  • Then, the time taken by Thief to run away from Police is also t hours



Step 4: Calculate the Distance covered by Police and Thief


  • Distance covered by Police = Speed * Time = 5x * t

  • Distance covered by Thief = Speed * Time = 4x * t



Step 5: Calculate the Total Distance covered by Thief


  • Total Distance covered by Thief = Distance between Police and Thief + Distance covered by Thief before being caught = 2 + 4x * t



Step 6: Equate the Total Distance covered by Thief to the Distance covered by Police and Solve for t


  • 2 + 4x * t = 5x * t

  • 3x * t = 2

  • t = 2/(3x)



Step 7: Calculate the Distance covered by Police to Catch the Thief


  • Distance covered by Police = Speed * Time = 5x * t = 5x * (2/(3x)) = 10/3 km



Answer:

The Police had to run 10/3 km to catch the Thief.
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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?
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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? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about 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? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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