An aeroplane flying 1000 km covers the first 200 km at the rate of 200 km/hr, the second 200 km at 400 km/hr, the third 200 km at 600 km / hr & last 200 km at the rate of 800 km/hr. Determine the average speed of the aeroplane.A)300kmphB)400kmphC)480kmphD)500kmph
Question
An aeroplane flying 1000 km covers the first 200 km at the rate of 200 km/hr, the second 200 km at 400 km/hr, the third 200 km at 600 km / hr & last 200 km at the rate of 800 km/hr. Determine the average speed of the aeroplane.A)300kmphB)400kmphC)480kmphD)500kmph
Solution
To find the average speed of the airplane, we need to divide the total distance by the total time taken.
-
Calculate the time taken for each segment of the journey:
- For the first 200 km at 200 km/hr, time = distance/speed = 200/200 = 1 hour
- For the second 200 km at 400 km/hr, time = 200/400 = 0.5 hours
- For the third 200 km at 600 km/hr, time = 200/600 = 0.33 hours
- For the last 200 km at 800 km/hr, time = 200/800 = 0.25 hours
-
Add up all the times to get the total time taken: 1 + 0.5 + 0.33 + 0.25 = 2.08 hours
-
Divide the total distance (1000 km) by the total time (2.08 hours) to get the average speed: 1000/2.08 = 480.77 km/hr
So, the average speed of the airplane is approximately 480 km/hr. Therefore, the correct answer is C) 480 kmph.
Similar Questions
An aeroplane flying 1000 km covers the first 200 km at the rate of 200 km/hr, the second 200 km at 400 km/hr, the third 200 km at 600 km / hr & last 200 km at the rate of 800 km/hr. Determine the average speed of the aeroplane.A)300kmphB)400kmphC)480kmphD)500kmph
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:300 kmph360 kmph600 kmph720 kmph
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 (2/3) hours, it must travel at a speed of ____ kmph
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:1 hour
An aeroplane A flies with a velocity of 450 m/s to the north while an aeroplane B travels at a velocity of 500 m/s to the south beside aeroplane A. Calculate the relative velocity of the aeroplane A with respect to aeroplane B.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.