Mr. Zhang decided to go to the gas station to refuel his car immediately after learning the news of the gasoline price increase that night. When he arrived at the gas station at 22:00, he found that there was only one fuel dispenser open at the gas station, and there was a long queue of cars waiting for refueling. There are cars queuing up behind. While waiting for refueling, Mr. Zhang found that it takes an average of 3 minutes for each car to refuel, and the number of cars queuing behind increases at a rate of 2 every 3 minutes. When Mr. Zhang finishes refueling, it is already 23:12. At this time, the gas station according to It is required to decide to refuel all the cars waiting in line before the gasoline price adjustment, so that the cars arriving later can refuel without waiting. Then at least how many refueling machines need to be opened at the gas station to refuel at the same time?
张先生当晚获知汽油涨价消息后决定马上到加油站给汽车加油，当他22：00到达加油站时，发现加油站只开放了一台加油机，等候加油的汽车已排起了长队，后面还有汽车接上来排队．张先生在等候加油过程中发现平均每辆车加油需要3分钟，后面排队的汽车以每3分钟2辆的速度增加，当张先生加完油时已是23：12，这时，加油站根据要求决定在汽油调价前将排队等候的汽车全部加油通过，以使后面到站的汽车不需等候就能加到油那么加油站至少需要增加开放几台加油机同时加油？
<gadget id="calculator">72 / 3</gadget>
<output>24</output>

<gadget id="calculator">3 / 48</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">24 * 2 * (1/16)</gadget>
<output>3</output>

<gadget id="calculator">2 - 1</gadget>
<output>1</output>

<gadget id="calculator">3 + 1</gadget>
<output>4</output>

<result>4</result>