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## Homework Statement

Let S and S' be two inertial frames of reference where S' is moving at a velocity of 0.6c relative to S.

When x = x' = 0, t = t' = 0, where t and t' are time of the clocks on S and S' respectively and x and x' are the x-coordinates of the S and S' frames respectively.

An event occurs at S when t = 2 × 10

^{-7}s and x = 50m. What is t' when the event occurs at S'?

## Homework Equations

t = ϒ t'

## The Attempt at a Solution

Let t' be the proper time.

t = ϒ t' where t = 2 × 10

^{-7}s and v = 0.6c.

Solving, I got t' = 1.6 × 10

^{-7}s but the answer is 1.25 × 10

^{-7}s.

What am I doing wrong?