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prohojiy [21]
3 years ago
14

In a flight of 600 km, the speed of the aircraft was slowed down due to bad weather. The average speed of the trip was decreased

by 200 km/hr and thus the time of flight increased by 30 minutes. Find the average speed of the aircraft originally. __________ Please don't spam or your answer will be reported :) Thank you :)
Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

The average speed would be 600 km/hr.

Step-by-step explanation:

Let the original speed be 'x'

Let the decreased speed be 'x-200'

Distance = 600 km

Time increased by 30 minutes

According to question, it becomes,

\dfrac{600}{x-200}-\dfrac{600}{x}=\dfrac{30}{60}\\\\\dfrac{x-(x-200)}{x^2-200x}=\dfrac{1}{2\times 600}\\\\\dfrac{200}{x^2-200x}=\dfrac{1}{1200}\\\\240000=x^2-200x\\\\x^2-200x-240000=0\\\\x=600,-400

So, The average speed would be 600 km/hr.

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