Time Paradox: Calculating Time Dilation for Objects Moving at 90% Speed of Light

[Trojan666ru]

Suppose an object "O" is traveling towards me at 90% speed of light which is placed at 1hr c away, then how much time in "MY Clock" would it take to reach me?
I calculated it to be 1hr and 6 mts, am i right?
But on the other hand I'm the one who is moving towards the object "O" so by time dilation I'll reach there in 26.16mts, which one is the correct answer?

 

[Doc Al]

Suppose an object "O" is traveling towards me at 90% speed of light which is placed at 1hr c away, then how much time in "MY Clock" would it take to reach me?
I calculated it to be 1hr and 6 mts, am i right?

Right. Assuming that the given distance the object had to travel is as measured by you.

Of course, as seen by an observer moving with the object, the distance you have to travel is shorter due to length contraction. Note also that that observer disagrees with how you measured the travel time, due to relativity of simultaneity.

 

[Naty1]

Above all looks good.

I also explained here in your other thread:
https://www.physicsforums.com/showthread.php?t=716025

 

[Dale]

Suppose an object "O" is traveling towards me at 90% speed of light which is placed at 1hr c away, then how much time in "MY Clock" would it take to reach me?
I calculated it to be 1hr and 6 mts, am i right?
But on the other hand I'm the one who is moving towards the object "O" so by time dilation I'll reach there in 26.16mts, which one is the correct answer?

The reason that there is any confusion is that you didn't clearly specify the problem. To fully specify the problem you should have said "Suppose an object 'O' is traveling towards me at 90% speed of light which is placed at 1hr c away in my frame, then how much time in 'MY Clock' would it take to reach me?"