Rule of thumb · Control SystemsNº 68 / 169

A stop-and-go wave travels backwards at 15-20 km/h

The cars go forwards; the jam goes backwards, at roughly 15 to 20 km/h — near enough the same whatever the speed limit is.

Why it works

Queued cars pack about one vehicle length plus a gap apart (~7 m), and each pulls away about one headway (~1.5 s) after the one in front. The back of the queue therefore eats backwards at 7 ÷ 1.5 ≈ 4.7 m/s ≈ 17 km/h. Nothing in that depends on how fast the free-flowing traffic is moving.

When it fails

It scales with what is IN the queue. A jam full of lorries packs far longer, so its wave runs backwards faster; so does a queue of tailgaters with a short start-up headway, which is the opposite of the intuition that impatience clears a jam. And it only describes the back of a jam that already exists — it says nothing about whether one will form, which is a stability question, not a kinematic one.

Do it exactly

Estimate with the rule, then check it against the calculator that models it properly.

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How fast does a traffic jam move?

The cars go forwards; the jam goes backwards, at roughly 15 to 20 km/h — near enough the same whatever the speed limit is. Queued cars pack about one vehicle length plus a gap apart (~7 m), and each pulls away about one headway (~1.5 s) after the one in front.

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