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FinnZ
12 days ago
12

Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la t

ercera, la cuarta parte del total. ¿Cuál es la longitud de la avenida si aún faltan 200 m por asfaltar?
Mathematics
1 answer:
babunello [3.6K]12 days ago
7 0

Respuesta:

Sabemos que:

L representa la longitud de la avenida.

En la primera fase se asfaltó la mitad, es decir, L/2, quedando lo siguiente por asfaltar:

L - L/2 = L/2.

En la segunda fase se asfaltó un quinto, o L/5, por lo que el restante es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercera fase se asfaltó un cuarto del total, es decir, L/4, quedando:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

Y sabemos que la parte que queda por asfaltar mide 200m:

(2/40)*L = 200m

L = 200m*(40/2) = 4,000m

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