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Discussion :: Time and Distance

  1. 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:

  2. A.

    1 hour

    B.

    2 hours

    C.

    3 hours

    D.
    4 hours

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    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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