Calculating the Average Speed of an Aeroplane

Given Information:

• The aeroplane flies from A to B at the rate of 500km/hr


• The aeroplane comes back from B to A at the rate of 700km/hr

Formula: Average Speed = (Total Distance Covered)/(Total Time Taken)

Step 1: Calculate the distance between A and B. Let's assume it to be 'd' km.

Step 2: Calculate the time taken by the aeroplane to fly from A to B and back. Let's assume it to be 't1' and 't2' respectively.

Step 3: Calculate the total distance covered by the aeroplane. It is equal to 2d km (as the aeroplane covers the same distance twice).

Step 4: Calculate the total time taken by the aeroplane. It is equal to (d/500) + (d/700) = (7d+5d)/(3500) = 2d/1000 hrs.

Step 5: Substitute the values of total distance and total time in the formula to get the average speed of the aeroplane.

Step 6: Simplify the formula to get the answer.

Final Answer: The average speed of the aeroplane is 588.23 km/hr.

Explanation: The average speed of the aeroplane is calculated by taking into account the total distance covered by the aeroplane and the total time taken to cover that distance. In this case, the aeroplane covers the same distance twice, so the total distance covered is equal to 2d km. The time taken to fly from A to B is d/500 hrs, and the time taken to come back from B to A is d/700 hrs. Therefore, the total time taken by the aeroplane is (d/500) + (d/700) = 2d/1000 hrs. Substituting these values in the formula, we get the average speed of the aeroplane as 588.23 km/hr.

583.33 km/h