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 he time of flight increased by 30 minutes . the duration of the flight is :
Answer: Option A
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Let the duration of the flight be `x` hours. Then,
`600/x - (600)/(x + 1/2) = 200`
`hArr 600/x - (1200)/(2x + 1) = 200`
`hArr x(2x + 1) = 3`
`hArr 2x^2 + x -3 = 0 `
`hArr (2x + 3) (x - 1) = 0`
`hArr x = 1 hr. ` [neglecting the - ve value of `x`]
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