DIRECTION for the question: Solve the following question and mark the best possible option.A police inspector spots a thief standing 7 km away from him on a straight road aligned in East West direction. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector the thief takes his bicycle and tries to cut across the adjoining field by riding away with a uniform speed of 9andradic;2 km/hour in a director making an angle of 45andordm; with the road towards North-East. The inspector starts with his scooter at the same instance to move with a uniform velocity 15 km/hour and catches the thief.Q. The distance the inspector has to travel is:a)3kmb)3.75kmc)5kmd)6kme)7.5kmCorrect answer is option 'C'. Can you explain this answer?

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DIRECTION for the question: Solve the following question and mark the best possible option.

A police inspector spots a thief standing 7 km away from him on a straight road aligned in East West direction. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector the thief takes his bicycle and tries to cut across the adjoining field by riding away with a uniform speed of 9√2 km/hour in a director making an angle of 45º with the road towards North-East. The inspector starts with his scooter at the same instance to move with a uniform velocity 15 km/hour and catches the thief.

Q. The distance the inspector has to travel is:

a)
3km
b)
3.75km
c)
5km
d)
6km
e)
7.5km

Correct answer is option 'C'. Can you explain this answer?

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DIRECTION for the question: Solve the following question and mark the ...

Let the time taken by the inspector to catch the thief be t hours and let him catch the thief at O.

Since we are familiar with 9.12 and 15 right

triangle. 7 - 9t = 12t => t = 1/3.

∴ Time taken = 1/3 x 60 = 20min

The distance travelled by the inspector = Speed × time = 15 × 1/3 = 5 km.

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DIRECTION for the question: Solve the following question and mark the ...

Km/hr. If the field is 5 km wide, how far from the inspector will the thief be caught?

A) 5.5 km
B) 6 km
C) 6.5 km
D) 7 km

Answer: B) 6 km

Explanation:

Let's assume that the thief makes a right angle turn to cross the field, then the distance he needs to travel to reach the other end of the field is √(7^2 + 5^2) = √74 km.

The time taken by the thief to cross the field is given by t = d/s = √74/9 hours.

In this time, the inspector would have covered a distance of 7 - (9/60)√74 km.

Now, the distance between the inspector and the thief when the thief is caught is equal to the distance covered by the inspector in the time taken by the thief to cross the field.

Therefore, the distance between the inspector and the thief when the thief is caught is (7 - (9/60)√74) - (9/60)√74 = 6 km.

Hence, the correct answer is option B) 6 km.

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DIRECTION for the question: Solve the following question and mark the best possible option.A police inspector spots a thief standing 7 km away from him on a straight road aligned in East West direction. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector the thief takes his bicycle and tries to cut across the adjoining field by riding away with a uniform speed of 9√2 km/hour in a director making an angle of 45º with the road towards North-East. The inspector starts with his scooter at the same instance to move with a uniform velocity 15 km/hour and catches the thief.Q. The distance the inspector has to travel is:a)3kmb)3.75kmc)5kmd)6kme)7.5kmCorrect answer is option 'C'. Can you explain this answer?

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DIRECTION for the question: Solve the following question and mark the best possible option.A police inspector spots a thief standing 7 km away from him on a straight road aligned in East West direction. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector the thief takes his bicycle and tries to cut across the adjoining field by riding away with a uniform speed of 9√2 km/hour in a director making an angle of 45º with the road towards North-East. The inspector starts with his scooter at the same instance to move with a uniform velocity 15 km/hour and catches the thief.Q. The distance the inspector has to travel is:a)3kmb)3.75kmc)5kmd)6kme)7.5kmCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTION for the question: Solve the following question and mark the best possible option.A police inspector spots a thief standing 7 km away from him on a straight road aligned in East West direction. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector the thief takes his bicycle and tries to cut across the adjoining field by riding away with a uniform speed of 9√2 km/hour in a director making an angle of 45º with the road towards North-East. The inspector starts with his scooter at the same instance to move with a uniform velocity 15 km/hour and catches the thief.Q. The distance the inspector has to travel is:a)3kmb)3.75kmc)5kmd)6kme)7.5kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTION for the question: Solve the following question and mark the best possible option.A police inspector spots a thief standing 7 km away from him on a straight road aligned in East West direction. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector the thief takes his bicycle and tries to cut across the adjoining field by riding away with a uniform speed of 9√2 km/hour in a director making an angle of 45º with the road towards North-East. The inspector starts with his scooter at the same instance to move with a uniform velocity 15 km/hour and catches the thief.Q. The distance the inspector has to travel is:a)3kmb)3.75kmc)5kmd)6kme)7.5kmCorrect answer is option 'C'. Can you explain this answer?.

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