Moving clocks and time dialation question

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phja
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i'm revising for an exam and have this question posed (this isn't homework)

what is the maximal velocity for a clock being transported from london to new york if the time difference to a stationary clock should be less than 10^-8 seconds.

i'm not allowed to use calculators.

i've tried doing it by t=t'y, but get a velocity of 1/3c, which i think is much too high. anyone have any ideas?

thanks.
 
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care to show how you got the 1/3c?