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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?
- a)5 Km
- b)6 Km
- c)8 Km
- d)10 Km
- e)Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A police saw a Thief at a distance of 2km. When Police started chasing...
2+x/5 = x/4
X = 8
Police = 8+2 = 10
X = 8
Police = 8+2 = 10
Most Upvoted Answer
A police saw a Thief at a distance of 2km. When Police started chasing...
Given:
Distance between Police and Thief = 2 km
Ratio of Speeds of Police to Thief = 5:4
To find:
Distance covered by Police to catch the Thief.
Solution:
Let's assume the speed of Police and Thief as 5x and 4x respectively.
As per the question, the ratio of speeds of Police to Thief is 5:4
Therefore, the speed of Police = 5x and the speed of Thief = 4x.
Let's assume that the thief was caught after he ran for 'd' km.
So, the total distance covered by Police and Thief will be 2 + d km.
Now, we know that Distance = Speed × Time.
Let's assume that the time taken by the Police to catch the Thief is 't' hours.
Time taken by Police = Time taken by Thief
=> (Distance covered by Police) / (Speed of Police) = (Distance covered by Thief) / (Speed of thief)
=> (2 + d) / 5x = d / 4x
=> 8x + 4dx = 5x^2
=> 4dx = 5x^2 - 8x
=> d = (5x - 8x) / 4x
=> d = 5/4
Therefore, the distance covered by the Thief = 5/4 km.
The distance covered by the Police = 2 + 5/4 km = 13/4 km = 3.25 km (approx).
Hence, the correct answer is option (D) 10 km.
Distance between Police and Thief = 2 km
Ratio of Speeds of Police to Thief = 5:4
To find:
Distance covered by Police to catch the Thief.
Solution:
Let's assume the speed of Police and Thief as 5x and 4x respectively.
As per the question, the ratio of speeds of Police to Thief is 5:4
Therefore, the speed of Police = 5x and the speed of Thief = 4x.
Let's assume that the thief was caught after he ran for 'd' km.
So, the total distance covered by Police and Thief will be 2 + d km.
Now, we know that Distance = Speed × Time.
Let's assume that the time taken by the Police to catch the Thief is 't' hours.
Time taken by Police = Time taken by Thief
=> (Distance covered by Police) / (Speed of Police) = (Distance covered by Thief) / (Speed of thief)
=> (2 + d) / 5x = d / 4x
=> 8x + 4dx = 5x^2
=> 4dx = 5x^2 - 8x
=> d = (5x - 8x) / 4x
=> d = 5/4
Therefore, the distance covered by the Thief = 5/4 km.
The distance covered by the Police = 2 + 5/4 km = 13/4 km = 3.25 km (approx).
Hence, the correct answer is option (D) 10 km.
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Community Answer
A police saw a Thief at a distance of 2km. When Police started chasing...
2+x/5 = x/4
X = 8
Police = 8+2 = 10
X = 8
Police = 8+2 = 10
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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?a)5 Kmb)6 Kmc)8 Kmd)10 Kme)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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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?a)5 Kmb)6 Kmc)8 Kmd)10 Kme)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant 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?a)5 Kmb)6 Kmc)8 Kmd)10 Kme)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 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?a)5 Kmb)6 Kmc)8 Kmd)10 Kme)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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