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  • In a flight of 600 km, an aircraft was slowed down due to bad weather. The average speed of the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find the duration of flight.   <div style="float:left; w

In a flight of 600 km, an aircraft was slowed down due to bad weather. The average speed of the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find the duration of flight.

 

 

 

 
 
 
 
 

Answers (1)

\\ \text { Let the average speed of flight be } x \text { km/hr } \\ \text { Original time taken } (t)=\frac{600}{x} \text { hr } \\ \text { New average speed of flight } = x -200 \text { km/hr } \\ \text { New time }=\left(\frac{600}{x}+\frac{1}{2}\right) \mathrm{hr} \\ $Distance $ = (x -200)(\frac{600}{x}+\frac{1}{2}) = 600 \\ \frac{x}{2}-\frac{120000}{x} -100=0 \\ \frac{x^{2}-240000-200 x}{2 x}=0 \\ x^{2}-200 x-240000=0 \\ x^{2}-600 x + 400x-240000=0 \\ x(x-600) + 400(x - 600) = 0 \\ (x-600)(x+400) = 0 \\ x = 600 \\ t = \frac{600}{600} = 1 \ \ hr

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