It took tandile 30 minutes to fly the distance of 192,4 kilometers between pilanesburg National Park to Johannesburg. Calculate the everage speed of the aircraft in kilometers per hour.
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Step-by-step explanation:
Let Speed of deccan queen = x km/h
Speed of other train = (x - 20) km/h
48 min = 48/60 hours = 0.8 hours
Difference in time = 192/(x-20) - 192/x = 0.8
This simplifies to:
3840 = 0.8x² -16x
x² - 20x - 4800 = 0; This is a quadratic equation
x² - 80x + 60x - 4800 = 0
x(x - 80) + 60(x - 80) = 0
(x - 80) (x + 60) = 0
Either x - 80 = 0 ⇒ x = 80
Or x + 60 = 0 ⇒ x = -60
Take x = 80
∴ The speed of the deccan queen = 80 km/h
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it took tuandile 30 minutes to fly the distance of 192.4 kilometers between pilanesburg national park to Johannesburg. calculate the average speed of the aircraft in kilometers per hour.
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