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An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)
- a)5014 km
- b)5140 km
- c)5130 km
- d)5103 km
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
An aeroplane flies with an average speed of 756 km/hr. A helicopter ta...
Distance covered by aeroplane in 18 hours =speed xtime
=756x18
=13608km
the distance covered by helicopter in 48 hours=twice distance of the aeroplane
=2x13608
=27216km
speed of helicopter
=27216/48=567kmper hour
distance covered by helicopter in 9 hours
=567x9
=5103km
Most Upvoted Answer
An aeroplane flies with an average speed of 756 km/hr. A helicopter ta...
Distance covered by aeroplane in 18 hours =speed xtime
=756x18
=13608km
the distance covered by helicopter in 48 hours=twice distance of the aeroplane
=2x13608
=27216km
speed of helicopter
=27216/48=567kmper hour
distance covered by helicopter in 9 hours
=567x9
=5103km
=756x18
=13608km
the distance covered by helicopter in 48 hours=twice distance of the aeroplane
=2x13608
=27216km
speed of helicopter
=27216/48=567kmper hour
distance covered by helicopter in 9 hours
=567x9
=5103km
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Community Answer
An aeroplane flies with an average speed of 756 km/hr. A helicopter ta...
To solve this problem, we can set up a proportion using the given information. Let's break down the steps:
Step 1: Find the speed of the helicopter
Since the helicopter takes 48 hours to cover twice the distance covered by the airplane in 9 hours, we can set up the following proportion:
Speed of helicopter / Speed of airplane = Distance covered by helicopter / Distance covered by airplane
Let's assume the distance covered by the airplane in 9 hours is D km. Therefore, the distance covered by the helicopter in 48 hours would be 2D km.
Step 2: Calculate the speed of the helicopter
The speed of the helicopter can be calculated by dividing the distance covered by the helicopter by the time taken:
Speed of helicopter = Distance covered by helicopter / Time taken by helicopter
Speed of helicopter = 2D km / 48 hours
Step 3: Calculate the distance covered by the helicopter in 18 hours
Now, we need to find the distance covered by the helicopter in 18 hours. We can set up another proportion using the speed of the helicopter:
Distance covered by helicopter / Time taken by helicopter = Speed of helicopter
Let's assume the distance covered by the helicopter in 18 hours is X km.
X km / 18 hours = 2D km / 48 hours
Step 4: Solve for X
To find X, we can cross-multiply and solve for X:
X km = (18 hours * 2D km) / 48 hours
X km = 36D km / 48 hours
X km = 3D km / 4
Therefore, the distance covered by the helicopter in 18 hours is 3D/4 km.
Step 5: Calculate the value of D
To calculate the value of D, we can use the given information that the airplane flies with an average speed of 756 km/hr.
Distance covered by airplane = Speed of airplane * Time taken by airplane
D = 756 km/hr * 9 hours
D = 6804 km
Step 6: Calculate the distance covered by the helicopter in 18 hours
Now, we can substitute the value of D in the equation for X:
Distance covered by helicopter in 18 hours = 3D/4 km
= 3 * 6804 km / 4
= 20412 km / 4
= 5103 km
Therefore, the distance covered by the helicopter in 18 hours is 5103 km. Hence, the correct answer is option D.
Step 1: Find the speed of the helicopter
Since the helicopter takes 48 hours to cover twice the distance covered by the airplane in 9 hours, we can set up the following proportion:
Speed of helicopter / Speed of airplane = Distance covered by helicopter / Distance covered by airplane
Let's assume the distance covered by the airplane in 9 hours is D km. Therefore, the distance covered by the helicopter in 48 hours would be 2D km.
Step 2: Calculate the speed of the helicopter
The speed of the helicopter can be calculated by dividing the distance covered by the helicopter by the time taken:
Speed of helicopter = Distance covered by helicopter / Time taken by helicopter
Speed of helicopter = 2D km / 48 hours
Step 3: Calculate the distance covered by the helicopter in 18 hours
Now, we need to find the distance covered by the helicopter in 18 hours. We can set up another proportion using the speed of the helicopter:
Distance covered by helicopter / Time taken by helicopter = Speed of helicopter
Let's assume the distance covered by the helicopter in 18 hours is X km.
X km / 18 hours = 2D km / 48 hours
Step 4: Solve for X
To find X, we can cross-multiply and solve for X:
X km = (18 hours * 2D km) / 48 hours
X km = 36D km / 48 hours
X km = 3D km / 4
Therefore, the distance covered by the helicopter in 18 hours is 3D/4 km.
Step 5: Calculate the value of D
To calculate the value of D, we can use the given information that the airplane flies with an average speed of 756 km/hr.
Distance covered by airplane = Speed of airplane * Time taken by airplane
D = 756 km/hr * 9 hours
D = 6804 km
Step 6: Calculate the distance covered by the helicopter in 18 hours
Now, we can substitute the value of D in the equation for X:
Distance covered by helicopter in 18 hours = 3D/4 km
= 3 * 6804 km / 4
= 20412 km / 4
= 5103 km
Therefore, the distance covered by the helicopter in 18 hours is 5103 km. Hence, the correct answer is option D.
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An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)a)5014 kmb)5140 kmc)5130 kmd)5103 kmCorrect answer is option 'D'. Can you explain this answer?
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An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)a)5014 kmb)5140 kmc)5130 kmd)5103 kmCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)a)5014 kmb)5140 kmc)5130 kmd)5103 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)a)5014 kmb)5140 kmc)5130 kmd)5103 kmCorrect answer is option 'D'. Can you explain this answer?.
An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)a)5014 kmb)5140 kmc)5130 kmd)5103 kmCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)a)5014 kmb)5140 kmc)5130 kmd)5103 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? (assuming that flights are non-stop and moving with uniform speed)a)5014 kmb)5140 kmc)5130 kmd)5103 kmCorrect answer is option 'D'. Can you explain this answer?.
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