The average speed of aeroplane is reduced 60 km/ hr it would take 24 min more to cover a certain distance but if the speed is increased by 40km/ hr it would take 12 min less to cover the same distance find the speed of aeroplane?
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The speed of the aeroplane is equal to 315 km/hr.
Let the speed of the airplane be x Km/hr and the time taken by the aeroplane to complete the journey be y hours.
initially , distance travelled = xy
When speed is reduced by 60 Km/hr , x - 60 . The time taken = y + 24
Distance travelled = (x-60)(y+(24/60))
=> xy = xy + (2x/5) - 60y - 24
=> (2x/5) - 60y = 24 --------(1)
When speed is increased by 40 Km/hr , x + 40 . The time taken = y - 12
Distance travelled = (x+40)(y-(12/60))
=> xy = xy - (x/5) + 40y - 5
=> (-x/5) + 40y = 5 --------(2)
Solve the equations (1) and (2) to get the values of x and y.
x = 315 km/hr , y = 1.7 hours.
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