In a flight of 600 km, an aircraft was slowed down due to bad weather…

Question

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

Accepted Answer

Option A. 1 hour. Answer & Solution Answer: Option A Solution: & Let\, the\, duration\, of\, the\, flight\, be\,x\, hours & Then, 600x - 600x + ( 1/2 ) = 200 & 600x - 12002x + 1 = 200 & x ( 2x + 1 ) = 3 & 2x^2 + x - 3 = 0 & (2x + 3)(x - 1) = 0 & x = 1\, hour