Fred and George are 19.0 years of age when they left earth to travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. Fred travels at a speed of 0.900c and George travels at 0.500c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time?

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter1: Relativity I
Section: Chapter Questions
Problem 33P: Suppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c...
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Fred and George are 19.0 years of age when they left earth to travel to a distant planet 12.0 light-years away.
Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on
different spaceships. Fred travels at a speed of 0.900c and George travels at 0.500c. (a) According to the theory
of special relativity, what is the difference between their ages when they meet again at the earliest possible time?
(b) Which twin is older?

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Im sorry but i cant understand this

 One light year =distance travelled by light in a year 

1 ly=C(1 year)

d= 12ly =12c years

time taken by Fred  and George with respect to observer on Earth  are

t1=dv1=12 c0.9 c=13.33 yrt2 =dv2=12 c0.5 c=24 yr

Actual times are

t0=t11-v1c2=5.81 yrt0=t21-v2c2=20.78 yr

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