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An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is?
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An aeroplane flies from A to B at the rate of 500m/hour and comes back...
Calculation of Average Speed of the Aeroplane
When an object travels at different speeds, the average speed is calculated as the total distance covered divided by the total time taken. Let's assume the distance between A and B is d km.
Calculating time taken to travel from A to B
Time taken to travel from A to B is given by:
Time = Distance / Speed
Speed from A to B = 500 km/hour
Time taken to travel from A to B = d/500
Calculating time taken to travel from B to A
Time taken to travel from B to A is given by:
Time = Distance / Speed
Speed from B to A = 700 km/hour
Time taken to travel from B to A = d/700
Calculating total time taken
Total time taken to travel from A to B and back to A is given by:
Total Time = Time taken from A to B + Time taken from B to A
Total Time = d/500 + d/700
Calculating average speed
Average speed is given by:
Average Speed = Total Distance / Total Time
Total Distance = 2d (as the plane travels from A to B and back to A)
Average Speed = 2d / (d/500 + d/700)
Simplifying the equation
We can simplify the above equation as:
Average Speed = 2d * (500 * 700) / (700d + 500d)
Average Speed = 2 * 500 * 700 / 1200
Average Speed = 583.33 km/hour
Conclusion
Therefore, the average speed of the aeroplane is 583.33 km/hour.
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An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is?
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An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is?.
An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aeroplane flies from A to B at the rate of 500m/hour and comes back from B to A at the rate of 700km/hour. The average speed of the aeroplane is?.
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