At point A of a square ABCD with a side length of 17 meters, there are two beetles, red and blue. At 9:00, they crawl along the side at the same speed at the same time. The red beetle goes from A----B----C----D; the blue beetle goes from A---D---C.9:30 The red beetle climbs to E, which is 10 meters away from point A between A and B Continue to climb forward after point 10:15 to point F between BC, and then climb forward through C. The blue beetle climbed to point G, which is 5 meters away from point D, between AD and rested for a while before climbing forward. When the two beetles meet at point H on CD, it happens that the area of the quadrilateral EFHG is half the area of the square. How long did the blue beetle rest at point G?
在一个边长17米的正方形ABCD的A点，有红、蓝两个甲虫.9：00同时沿着边以相同的速度爬行．红甲虫由A----B-----C----D；蓝甲虫由A---D---C.9：30红甲虫爬到AB间距离A点10米的E点后继续向前爬去，10：15到BC间的F点，再经C向前爬去．蓝甲虫爬到AD间距离D点5米的G点休息了一会儿再往前爬去．当两个甲虫在CD上的H点相遇时，凑巧四边形EFHG的面积是正方形面积的一半．求蓝甲虫在G点休息了多长的时间？
<gadget id="calculator">17 * 2</gadget>
<output>34</output>

<gadget id="calculator">34 + 7</gadget>
<output>41</output>

<gadget id="calculator">30 / 10</gadget>
<output>3</output>

<gadget id="calculator">41 * 3</gadget>
<output>123</output>

<gadget id="calculator">17 + 10</gadget>
<output>27</output>

<gadget id="calculator">27 * 3</gadget>
<output>81</output>

<gadget id="calculator">123 - 81</gadget>
<output>42</output>

<result>42</result>