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An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2) hours?
- a)300√67 km
- b)400√61 km
- c)200√61 km
- d)300√61 km
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
An aeroplane leaves an airport and flies due north at a speed of 1000 ...
Let the point A represent the airport.
Let the plane-I fly towards North.
∴ Distance of the plane-I from the airport after 1(1/2) hours
= Speed × Time = 1000 × (1)1/2 km= 1500 km
Let the plane-II fly towards West.
∴ Distance of the plane-II from the airport after (1)1/2 hours
= 1200 × (1)1/2km = 1800 km
Now, in right ∆ABC, using Pythagoras theorem, we have
BC2 = AB2 + AC2
⇒ BC2 = (1800)2 + (1500)2 = 5490000
⇒ BC =
Thus, after (1)1/2 hours, the two planes will be 300 √61 km apart from each other.
Let the plane-I fly towards North.
∴ Distance of the plane-I from the airport after 1(1/2) hours
= Speed × Time = 1000 × (1)1/2 km= 1500 km
Let the plane-II fly towards West.
∴ Distance of the plane-II from the airport after (1)1/2 hours
= 1200 × (1)1/2km = 1800 km
Now, in right ∆ABC, using Pythagoras theorem, we have
BC2 = AB2 + AC2
⇒ BC2 = (1800)2 + (1500)2 = 5490000
⇒ BC =
Thus, after (1)1/2 hours, the two planes will be 300 √61 km apart from each other.
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An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer?
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An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer?.
An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer?.
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An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1(1/2)hours?a)300√67 kmb)400√61 kmc)200√61 kmd)300√61 kmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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