Discussion :: Time and Distance
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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:
Answer : Option A
Explanation :
Let the duration of the flight be x hours.
Then,\(\frac { 600 } { X } -\)\(\frac { 600 } { X+(1/2) }=200\)
\(\frac { 600 } { X } -\)\( \frac { 1200 } { 2X+1 } \)=200
x(2x + 1) = 3
2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr. [neglecting the -ve value of x]
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