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Aurora

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PROBLEMA MATEMATICO

PROBLEMA MATEMATICO

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  • 1. LAS DOS MECANÓGRAFAS<br />SE LE ENCARGO A DOS MECANÓGRAFAS QUE COPIARAN UN INFORME. LA QUE ESCRIBÍA MÁS RÁPIDAMENTE HUBIERA PODIDO CUMPLIR EL ENCARGO EN 2 HORAS; LA OTRA, EN 3 HORAS. ¿EN CUÁNTO TIEMPO COPIARÁN AMBAS ESE INFORME?<br />
  • 2. VELOCIDAD 1 = I/ 2 H<br /> VELOCIDAD 2 = I/ 3 H <br />I ES EL TRABAJO <br /> T ES EL TIEMPO<br />I = ( I/2 H + I/3 H) T<br />FORMULANDOI = I( 1/2 H +1/3H ) T<br />
  • 3. DESPEJANDO TT = I / (I( 1/2 H +1/3 H )) SIMPLIFICANDO I<br />T = 1 / ( 1/2 H +1/3 H ) =<br />T= 1/ (5/6H)=<br /> T= 6/5 H<br />
  • 4. 6/5 = 1.2 horas = 72 min<br />SI TRABAJAN JUNTAS TARDARAN 72 min O <br />1 hora y 12 min. <br />

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