The honest answer is that the rules set a floor and your risk per trade sets the rest. Both are arithmetic, and both are knowable before you pay.
Most programs set a minimum number of trading days, commonly between zero and ten, and many have removed hard time limits. The realistic timeline is the profit target divided by what you make per trading day at your risk, floored by that minimum. A 8% target at 0.5% risk and a 1:2 reward to risk needs a lot of winning days, which is the calculation most people skip.

Expectancy per trade = (win% × R − loss%) × risk%. Trades needed = target ÷ expectancy. This is average-case arithmetic with no drawdown path and no guarantee: variance decides the real number, and a negative expectancy never reaches the target at all.
Three questions, the numbers rolled each time, no signup. The working is shown either way, so a wrong answer still teaches you the sum.
Pick one.
Most programs require a minimum number of days on which you actually traded before a pass counts, commonly somewhere between none and ten. It exists to stop a single lucky session from producing a funded account. If a program has a minimum of five days, five days is your fastest possible pass however well the first one goes.
Hard deadlines used to be standard and are now much less common, with many firms advertising unlimited time. That changes the question from "can I do it in 30 days" to "can I do it without breaking a rule", which is a better question and a harder one.
Take the profit target, your risk per trade, and your reward to risk. A target of 8% at 0.5% risk per trade and a 1:2 payoff needs eight net winning trades, and net is the operative word: at a 50% win rate you are taking roughly 32 trades to get there, and every loss along the way is inside a daily limit that can end the account.
The calculator on this page does the target side of that. Put your own risk number in and the result is usually longer than the marketing suggests, which is the point.

Chart Bound's Prop Arena runs a simulated evaluation against each firm's own published rules, over real tape, free. It is the cheapest way to find out whether the rules suit you before a fee is involved.
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No faster than the minimum trading day count, which is commonly between zero and ten days. Beyond that it depends on your risk per trade and your payoff.
Many have removed them and advertise unlimited time, though this varies by firm and program. Check the firm's own current terms.
Passing quickly usually means trading larger, which runs closer to the daily loss limit. The fast route and the safe route are the same decision viewed from two ends.
Work it out rather than take a number: target divided by expected gain per trading day at your own risk, floored by the minimum day count. The calculator on this page does the first half.
Free to use, on any site, with no signup: paste this one line where you want the tool to appear. It loads our hosted version, so it stays up to date, and the link under it credits back to this page.
420×620 by default and it scales down to fit a narrower column. Please keep the attribution link.

Chart Bound's Prop Arena runs a simulated evaluation against each firm's own published rules, over real tape, free. It is the cheapest way to find out whether the rules suit you before a fee is involved.
Play free, no signup →