[{"data":1,"prerenderedAt":145},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Fmoviles?{}":3,"topics-with-content:razonamiento-matematico":103},{"course":4,"topic":12,"counts":16,"universities":21,"channels":27,"sampleQuestions":48,"sameName":102},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},17,"razonamiento-matematico","Razonamiento Matemático","R. Mat.","reasoning","i-lucide-puzzle",16,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":11},1717,"moviles","Móviles",{"topicId":13,"courseId":5,"questions":17,"classes":18,"videos":19,"minutes":20},2,34,32,262,[22],{"universityId":23,"questions":17,"years":24},1,[25,26],2025,2024,[28,31,33,36,39,41,43,46],{"name":29,"classes":30},"Academia ipluton",6,{"name":32,"classes":30},"META VILLARREAL",{"name":34,"classes":35},"Academia Internet",5,{"name":37,"classes":38},"Academia Grupo Ciencias",4,{"name":40,"classes":38},"CEPRE UNMSM",{"name":42,"classes":38},"Salón Sapiens",{"name":44,"classes":45},"Ciclo Uni-San Marcos",3,{"name":47,"classes":17},"Alberto Cruz",[49,80],{"id":50,"courseId":5,"topicId":13,"pastExamId":51,"stem":52,"figures":53,"options":59,"correctKey":73,"explanation":75,"difficulty":45,"status":76,"source":77,"stats":78},4634,242,"Cada 7 minutos y con velocidad uniforme, una hormiga sube 5 m y baja 2 m, siempre en ese orden y en línea recta. Si a las 6:00 a. m. la hormiga empezó a subir una torre que tiene 155 m de altura, ¿a qué hora, como mínimo llegará a la parte más alta de la torre?\n{{figura_1}}",[54],{"marker":55,"src":56,"width":57,"height":58},"{{figura_1}}","\u002Ffiles\u002Fq\u002F2d55abcc2f77e2ea5707.webp",281,395,[60,63,66,69,72],{"key":61,"text":62},"A","11:57 a. m.",{"key":64,"text":65},"B","11:58 a. m.",{"key":67,"text":68},"C","11:45 a. m.",{"key":70,"text":71},"D","11:50 a. m.",{"key":73,"text":74},"E","11:55 a. m.","","published","UNMSM 2025-I · Medicina Humana",{"attempts":79,"accuracy":79},0,{"id":81,"courseId":5,"topicId":13,"pastExamId":82,"stem":83,"figures":84,"options":89,"correctKey":61,"explanation":75,"difficulty":45,"status":76,"source":100,"stats":101},4062,232,"Los puntos resaltados de una pista circular están igualmente espaciados. Marcos corre a una velocidad triple que la de Antonio. Ambos empiezan a correr al mismo tiempo, desde el punto $Q$, en la misma dirección, tal como se muestra en la figura. ¿En qué punto después de la partida Marcos encontrará a Antonio por tercera vez?\n{{figura_1}}",[85],{"marker":55,"src":86,"width":87,"height":88},"\u002Ffiles\u002Fq\u002Facd06f7c195c8ffa218c.webp",337,373,[90,92,94,96,98],{"key":61,"text":91},"$P$",{"key":64,"text":93},"$M$",{"key":67,"text":95},"$R$",{"key":70,"text":97},"$N$",{"key":73,"text":99},"$Q$","UNMSM 2024-I · Área B · Ciencias Básicas",{"attempts":79,"accuracy":79},[],[104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,13,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1791501535444]