City A & B are in different time zone, A is located 3000 km east of B. The table below describes the schedule of an airline operating non-stop flights between A & B, all the times indicate are local & on same day.. DEPARTURE ARRIVALCity Time City TimeB 8 A.M. A 3 P.M.A 4 P.M. B 8 P.M.Assume that plane cruise at the same speed in both direction, however the affected speed is influenced by steady wind blowing from east to west at 50km/hr.Q.1) What is the time difference between A&b;?Q.2) what is the speed of the plane?

1) for question 1) 1 hour
2) for question 1) 1 hour, 30 min.
3) for question 1) 2 hour
4) for question 1) 2 hour, 30 min.
5) for question 2) 450 km/hr
6) for question 2) 500 km/hr
7) for question 2) 550 km/hr
8) for question 2) 600 km/hr

• Let the speed of the plane be p Kmph.
  
  So the speed of the plane from A to B will be 'p+50' and the speed from B to A will be 'p-50'.
  We notice that the plane goes from B to A stays there for 1 hr and again come back to B with the total time
  duration 12 hrs.
  
  So we have 3000/(p−50)+1+3000/(p+50) = 12.
  
  We can clearly see that speed of the plane is 550 which satisfies the above equation.
  
  So from going to A from B, the plane takes 3000/(550−50) = 6 hrs.
  
  So time at B when the plane reaches A is 2 pm.
  
  Hence the time difference between A and B is 1 hr.
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