How Does Tax Rate affect EPS and P/E Ratio

I have done some practice interviews and have been thinking about one question I was asked.

I believe the question was:

What would be the new stock price of a company if the tax rate decreases from 50% to 25%. Currently has $2 EPS and 15x P/E multiple.

I'm thinking you would you back out earnings to know the pretax income of $4, adjust for new tax rate (25%) = $3 EPS. Assuming the P/E multiple is the same, new stock price would be $45. Someone said since tax rate is being cut in half you could simply double the earnings to $4 EPS and with the same P/E multiple the stock price would be $60 but that's not making sense to me.

Appreciate you taking the time to read and help out.

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