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Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?
- a)3.4 km
- b)3.8 km
- c)4.4 km
- d)4.8 km
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Samir started from his police station for inspection duty. After trav...
To determine how far Samir is from the police station, we need to analyze the given information step by step.
Step 1: Initial movement
Samir starts from the police station and travels straight for a distance of 4 km. This means that he moves in a straight line without making any turns. So, after this movement, he is 4 km away from the police station.
Step 2: First left turn
After traveling straight for 4 km, Samir turns left for the market. He then travels straight for 600 meters. This means that he moves 600 meters in a direction perpendicular to his initial movement.
To visualize this, we can consider a right-angled triangle where the hypotenuse represents Samir's initial movement of 4 km, and the perpendicular side represents his movement towards the market. The other side of the triangle represents Samir's distance from the police station after the first left turn.
Using the Pythagorean theorem, we can calculate the length of the other side of the triangle:
(4 km)^2 = (distance from police station)^2 + (600 meters)^2
Simplifying the equation:
16 km^2 - 0.36 km^2 = (distance from police station)^2
15.64 km^2 = (distance from police station)^2
Taking the square root of both sides:
distance from police station = √15.64 km^2
distance from police station = 3.95 km (approximately)
Step 3: Second left turn
After traveling straight for 600 meters towards the market, Samir makes another left turn. He then travels straight for 200 meters. This means that he moves 200 meters in a direction perpendicular to his previous movement.
To calculate the new distance from the police station, we can again use the Pythagorean theorem:
(3.95 km)^2 = (new distance from police station)^2 + (200 meters)^2
15.6 km^2 - 0.04 km^2 = (new distance from police station)^2
15.56 km^2 = (new distance from police station)^2
Taking the square root of both sides:
new distance from police station = √15.56 km^2
new distance from police station = 3.95 km (approximately)
Step 4: Third left turn
After traveling straight for 200 meters, Samir makes another left turn. He then travels straight for 600 meters. This means that he moves 600 meters in a direction perpendicular to his previous movement.
Again, we can use the Pythagorean theorem to calculate the final distance from the police station:
(3.95 km)^2 = (final distance from police station)^2 + (600 meters)^2
15.6 km^2 - 0.36 km^2 = (final distance from police station)^2
15.24 km^2 = (final distance from police station)^2
Taking the square root of both sides:
final distance from police station = √15.24 km^2
final distance from police station = 3.91 km (approximately)
Therefore, Samir is approximately 3.91 km away from the police station.
The correct answer is option B: 3.8 km.
Step 1: Initial movement
Samir starts from the police station and travels straight for a distance of 4 km. This means that he moves in a straight line without making any turns. So, after this movement, he is 4 km away from the police station.
Step 2: First left turn
After traveling straight for 4 km, Samir turns left for the market. He then travels straight for 600 meters. This means that he moves 600 meters in a direction perpendicular to his initial movement.
To visualize this, we can consider a right-angled triangle where the hypotenuse represents Samir's initial movement of 4 km, and the perpendicular side represents his movement towards the market. The other side of the triangle represents Samir's distance from the police station after the first left turn.
Using the Pythagorean theorem, we can calculate the length of the other side of the triangle:
(4 km)^2 = (distance from police station)^2 + (600 meters)^2
Simplifying the equation:
16 km^2 - 0.36 km^2 = (distance from police station)^2
15.64 km^2 = (distance from police station)^2
Taking the square root of both sides:
distance from police station = √15.64 km^2
distance from police station = 3.95 km (approximately)
Step 3: Second left turn
After traveling straight for 600 meters towards the market, Samir makes another left turn. He then travels straight for 200 meters. This means that he moves 200 meters in a direction perpendicular to his previous movement.
To calculate the new distance from the police station, we can again use the Pythagorean theorem:
(3.95 km)^2 = (new distance from police station)^2 + (200 meters)^2
15.6 km^2 - 0.04 km^2 = (new distance from police station)^2
15.56 km^2 = (new distance from police station)^2
Taking the square root of both sides:
new distance from police station = √15.56 km^2
new distance from police station = 3.95 km (approximately)
Step 4: Third left turn
After traveling straight for 200 meters, Samir makes another left turn. He then travels straight for 600 meters. This means that he moves 600 meters in a direction perpendicular to his previous movement.
Again, we can use the Pythagorean theorem to calculate the final distance from the police station:
(3.95 km)^2 = (final distance from police station)^2 + (600 meters)^2
15.6 km^2 - 0.36 km^2 = (final distance from police station)^2
15.24 km^2 = (final distance from police station)^2
Taking the square root of both sides:
final distance from police station = √15.24 km^2
final distance from police station = 3.91 km (approximately)
Therefore, Samir is approximately 3.91 km away from the police station.
The correct answer is option B: 3.8 km.
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Community Answer
Samir started from his police station for inspection duty. After trav...
Distance = 4000 m – 200 m
= 3800 m
= 3.8 km
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Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer?
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Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. 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 Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer?.
Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. 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 Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Samir started from his police station for inspection duty. After travelling straight for a distance of 4 km, he turned left for the market and travelled straight for 600 metres. He now turned left again and travelled straight for another 200 metres. He finally turned left and travelled straight for 600 metres. How far is Samir from the police station?a)3.4 kmb)3.8 kmc)4.4 kmd)4.8 kmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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