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1 times faster doesn’t make sense. “Faster” implies one thing is “more fast” than the other. 1 times faster actually means “as fast” so faster isn’t an appropriate word to use. That’s where your confusion is coming from.

The rule is X is N times faster than Y means speed(X) = N * speed(Y). Read “N * speed(Y)” out loud: “N times the speed of Y”.

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I understand the point you are making but the problem is that of a conflation and not that of equivalence.

The price of gas is 10% higher this week than last week. A.k.a.: the price this week is 1.1 times the previous week.

I was going 50% faster than my friend was. A.k.a.: my speed was 1.5 times his'.

You were going 100% times faster than me, so you were going twice as fast as I was.

Change factor. 1 + the change / 100.

When using percents (e.g. N% faster), then you just add 1. So N% faster is (1 + N/100) times faster.

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