El tiempo

En este post nos referimos a la forma como medimos el tiempo, en horas, minutos y segundos, como se realizan las operaciones básicas entre ellos:


Lo primero que hay que exponer es:

1 hora = 60 minutos

1 minuto= 60 segundos

Ejemplo:

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

De acuerdo a lo que se había dicho tenemos que

130= 120+10=2(60) +10

Tenemos entonces que 130seg = 2 minutos y 10 segundos.

De la misma manera se hacen las sumas con los minutos:

PG1hdGggZGlzcGxheT0iYmxvY2siPgogICAgPG10YWJsZT4KICAgICAgICA8bXRyIHJvd2FsaWduPSJiYXNlbGluZSI+CiAgICAgICAgICAgIDxtdGQ+CiAgICAgICAgICAgICAgICA8bW4+MTwvbW4+CiAgICAgICAgICAgICAgICA8bW4+NjwvbW4+CiAgICAgICAgICAgICAgICA8bWk+bTwvbWk+CiAgICAgICAgICAgICAgICA8bWk+aTwvbWk+CiAgICAgICAgICAgICAgICA8bWk+bjwvbWk+CiAgICAgICAgICAgIDwvbXRkPgogICAgICAgIDwvbXRyPgogICAgICAgIDxtdHIgcm93YWxpZ249ImJhc2VsaW5lIj4KICAgICAgICAgICAgPG10ZD4KICAgICAgICAgICAgICAgIDxtbz4rPC9tbz4KICAgICAgICAgICAgICAgIDxtbj4yPC9tbj4KICAgICAgICAgICAgICAgIDxtbj41PC9tbj4KICAgICAgICAgICAgICAgIDxtaT5tPC9taT4KICAgICAgICAgICAgICAgIDxtaT5pPC9taT4KICAgICAgICAgICAgICAgIDxtaT5uPC9taT4KICAgICAgICAgICAgPC9tdGQ+CiAgICAgICAgPC9tdHI+CiAgICAgICAgPG10ciByb3dhbGlnbj0iYmFzZWxpbmUiPgogICAgICAgICAgICA8bXRkPgogICAgICAgICAgICAgICAgPG10YWJsZT4KICAgICAgICAgICAgICAgICAgICA8bXRyIHJvd2FsaWduPSJiYXNlbGluZSI+CiAgICAgICAgICAgICAgICAgICAgICAgIDxtdGQ+CiAgICAgICAgICAgICAgICAgICAgICAgICAgICA8bXVuZGVyPgogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtcm93PgogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICA8bW4+NDwvbW4+CiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtbj44PC9tbj4KICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgPG1pPm08L21pPgogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICA8bWk+aTwvbWk+CiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtaT5uPC9taT4KICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICA8L21yb3c+CiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgPG1vPiZvbGluZTs8L21vPgogICAgICAgICAgICAgICAgICAgICAgICAgICAgPC9tdW5kZXI+CiAgICAgICAgICAgICAgICAgICAgICAgIDwvbXRkPgogICAgICAgICAgICAgICAgICAgIDwvbXRyPgogICAgICAgICAgICAgICAgICAgIDxtdHIgcm93YWxpZ249ImJhc2VsaW5lIj4KICAgICAgICAgICAgICAgICAgICAgICAgPG10ZD4KICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtbj44PC9tbj4KICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtbj45PC9tbj4KICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtaT5tPC9taT4KICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtaT5pPC9taT4KICAgICAgICAgICAgICAgICAgICAgICAgICAgIDxtaT5uPC9taT4KICAgICAgICAgICAgICAgICAgICAgICAgPC9tdGQ+CiAgICAgICAgICAgICAgICAgICAgPC9tdHI+CiAgICAgICAgICAgICAgICA8L210YWJsZT4KICAgICAgICAgICAgPC9tdGQ+CiAgICAgICAgPC9tdHI+CiAgICA8L210YWJsZT4KPC9tYXRoPg==

60 +29= 89

1 hora + 29 minutos


Generalmente se hacen algunas aproximaciones, y se utiliza que:

24 horas = 1 día

365 días = 1 año

Y un año son 365.2422 días
De manera practica estas aproximaciones nos sirven para responder preguntas del tipo
¿Cuántos segundos hay en un año?
¿Cuántos días son 23 años? 

Para la primera pregunta hay que hacer las siguientes operaciones:

PG1hdGggZGlzcGxheT0iYmxvY2siPgogICAgPG1uPjE8L21uPgogICAgPG1pPmE8L21pPgogICAgPG1pPiZudGlsZGU7PC9taT4KICAgIDxtaT5vPC9taT4KICAgIDxtZnJhYz4KICAgICAgICA8bXJvdz4KICAgICAgICAgICAgPG1uPjM8L21uPgogICAgICAgICAgICA8bW4+NjwvbW4+CiAgICAgICAgICAgIDxtbj41PC9tbj4KICAgICAgICAgICAgPG1pPmQ8L21pPgogICAgICAgICAgICA8bWk+aTwvbWk+CiAgICAgICAgICAgIDxtaT5hPC9taT4KICAgICAgICA8L21yb3c+CiAgICAgICAgPG1yb3c+CiAgICAgICAgICAgIDxtbj4xPC9tbj4KICAgICAgICAgICAgPG1pPmE8L21pPgogICAgICAgICAgICA8bWk+Jm50aWxkZTs8L21pPgogICAgICAgICAgICA8bWk+bzwvbWk+CiAgICAgICAgPC9tcm93PgogICAgPC9tZnJhYz4KICAgIDxtZnJhYz4KICAgICAgICA8bXJvdz4KICAgICAgICAgICAgPG1uPjI8L21uPgogICAgICAgICAgICA8bW4+NDwvbW4+CiAgICAgICAgICAgIDxtaT5oPC9taT4KICAgICAgICAgICAgPG1pPnI8L21pPgogICAgICAgIDwvbXJvdz4KICAgICAgICA8bXJvdz4KICAgICAgICAgICAgPG1uPjE8L21uPgogICAgICAgICAgICA8bWk+ZDwvbWk+CiAgICAgICAgICAgIDxtaT5pPC9taT4KICAgICAgICAgICAgPG1pPmE8L21pPgogICAgICAgIDwvbXJvdz4KICAgIDwvbWZyYWM+CiAgICA8bWZyYWM+CiAgICAgICAgPG1yb3c+CiAgICAgICAgICAgIDxtbj42PC9tbj4KICAgICAgICAgICAgPG1uPjA8L21uPgogICAgICAgICAgICA8bWk+bTwvbWk+CiAgICAgICAgICAgIDxtaT5pPC9taT4KICAgICAgICAgICAgPG1pPm48L21pPgogICAgICAgIDwvbXJvdz4KICAgICAgICA8bXJvdz4KICAgICAgICAgICAgPG1uPjE8L21uPgogICAgICAgICAgICA8bWk+aDwvbWk+CiAgICAgICAgICAgIDxtaT5yPC9taT4KICAgICAgICA8L21yb3c+CiAgICA8L21mcmFjPgogICAgPG1mcmFjPgogICAgICAgIDxtcm93PgogICAgICAgICAgICA8bW4+NjwvbW4+CiAgICAgICAgICAgIDxtbj4wPC9tbj4KICAgICAgICAgICAgPG1pPnM8L21pPgogICAgICAgICAgICA8bWk+ZTwvbWk+CiAgICAgICAgICAgIDxtaT5nPC9taT4KICAgICAgICA8L21yb3c+CiAgICAgICAgPG1yb3c+CiAgICAgICAgICAgIDxtbj4xPC9tbj4KICAgICAgICAgICAgPG1pPm08L21pPgogICAgICAgICAgICA8bWk+aTwvbWk+CiAgICAgICAgICAgIDxtaT5uPC9taT4KICAgICAgICA8L21yb3c+CiAgICA8L21mcmFjPgogICAgPG1vPj08L21vPgogICAgPG1uPjM8L21uPgogICAgPG1uPjE8L21uPgogICAgPG1uPjU8L21uPgogICAgPG1uPjM8L21uPgogICAgPG1uPjY8L21uPgogICAgPG1uPjA8L21uPgogICAgPG1uPjA8L21uPgogICAgPG1uPjA8L21uPgogICAgPG1pPnM8L21pPgogICAgPG1pPmU8L21pPgogICAgPG1pPmc8L21pPgo8L21hdGg+

Como podemos ver los años, días, horas y minutos se cancelan y solo quedan los segundos, esto se debe a que todos los cocientes son 1, a estos se les llama factor unitario


Debe ser claro entonces que para la segunda pregunta, se tiene que:

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

Edit 2023

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