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Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?
- a)10 kilometres
- b)20 kilometres
- c)30 kilometres
- d)40 kilometres
- e)50 kilometres
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Dave drives his car from Perth to Brisbane. After 80 kilometres, he tu...
To find the distance Dave is from Perth, we need to visualize his movements and calculate the distance covered in each step.
1. Dave drives 80 kilometers from Perth.
2. He turns right and drives 50 kilometers.
3. He turns right again and drives 70 kilometers.
4. Finally, he turns right one more time and drives 50 kilometers.
To calculate the final distance from Perth, we need to calculate the horizontal and vertical distances separately and then use the Pythagorean theorem to find the straight-line distance.
Horizontal Distance:
- Dave initially drives 80 kilometers horizontally from Perth.
- He then turns right and drives 50 kilometers.
- After the second right turn, he drives 50 kilometers again.
So, the total horizontal distance covered by Dave is 80 + 50 + 50 = 180 kilometers.
Vertical Distance:
- After driving 80 kilometers horizontally, Dave turns right and drives 50 kilometers vertically.
- He then turns right again and drives 70 kilometers vertically.
- Finally, after the last right turn, he drives 50 kilometers vertically.
So, the total vertical distance covered by Dave is 50 + 70 + 50 = 170 kilometers.
Using the Pythagorean theorem, we can calculate the straight-line distance from Perth:
Distance from Perth = √(Horizontal distance^2 + Vertical distance^2)
Distance from Perth = √(180^2 + 170^2)
Distance from Perth = √(32400 + 28900)
Distance from Perth = √61300
Distance from Perth ≈ 247.57 kilometers
Since the options provided are in multiples of 10, we can round the distance to the nearest 10 kilometers, which is 250 kilometers. However, the correct answer option 'A' is 10 kilometers, which seems to be a mistake. It should be option 'E' 50 kilometers, which is the closest multiple of 10 to the calculated distance.
1. Dave drives 80 kilometers from Perth.
2. He turns right and drives 50 kilometers.
3. He turns right again and drives 70 kilometers.
4. Finally, he turns right one more time and drives 50 kilometers.
To calculate the final distance from Perth, we need to calculate the horizontal and vertical distances separately and then use the Pythagorean theorem to find the straight-line distance.
Horizontal Distance:
- Dave initially drives 80 kilometers horizontally from Perth.
- He then turns right and drives 50 kilometers.
- After the second right turn, he drives 50 kilometers again.
So, the total horizontal distance covered by Dave is 80 + 50 + 50 = 180 kilometers.
Vertical Distance:
- After driving 80 kilometers horizontally, Dave turns right and drives 50 kilometers vertically.
- He then turns right again and drives 70 kilometers vertically.
- Finally, after the last right turn, he drives 50 kilometers vertically.
So, the total vertical distance covered by Dave is 50 + 70 + 50 = 170 kilometers.
Using the Pythagorean theorem, we can calculate the straight-line distance from Perth:
Distance from Perth = √(Horizontal distance^2 + Vertical distance^2)
Distance from Perth = √(180^2 + 170^2)
Distance from Perth = √(32400 + 28900)
Distance from Perth = √61300
Distance from Perth ≈ 247.57 kilometers
Since the options provided are in multiples of 10, we can round the distance to the nearest 10 kilometers, which is 250 kilometers. However, the correct answer option 'A' is 10 kilometers, which seems to be a mistake. It should be option 'E' 50 kilometers, which is the closest multiple of 10 to the calculated distance.
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Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer?
Question Description
Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. 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 Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer?.
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Solutions for Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Dave drives his car from Perth to Brisbane. After 80 kilometres, he turns to his right and goes 50 kilometres. Then, he gain turns to his right and drives another 70 kilometres. He then turns to his right again and halts after driving a distance of 50 kilometres. At what distance is Dave now from Perth?a)10 kilometresb)20 kilometresc)30 kilometresd)40 kilometrese)50 kilometresCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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