Question

In a flight of 600km an air craft slowed down due to bad weather it's average speed for the trip reduced to 200km/hr and time increased by 30 mins find the original duration of the flight

Answer 1

Answer:

the original duration of the flight is 1 hour

Step-by-step explanation:

$\frac{600}{x-200} - \frac{600}{x} = 30 mins\\\\600 (\frac{1}{x-200}  - \frac{1}{x} ) = \frac{30}{60} hours\\\\600 ( \frac{200}{x^{2}- 200x } )=\frac{1}{2} \\\\600 * 200 *2 = x^{2} - 200x\\\\             240000 = x^{2} - 200x\\\\(x-600) (x+400) = 0 \\\\x= 600km/h$

time =$\frac{distance}{speed} \\\\=\frac{600}{600} \\\\= 1$