Una obra se debe terminar en 30 días con 12 obreros que trabajan 5 horas diarias. Pero cuando ya habían realizado la quinta parte de la obra, «n»> obreros son despedidos, por lo cual los que quedan trabajan 3 horas más cada día, terminando la obra 4 días antes de lo provisto. Calcular .
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Materia:
Matemáticas -
Autor/a:
remy -
Creada:
hace 1 año
Respuestas 1
Respuesta:
Explicación paso a paso:
5 hours a day, then the total work done per day is:
12 workers * 5 hours/worker = 60 hours/day
If the work needs to be completed in 30 days, then the total work that needs to be done is:
Total work = 60 hours/day * 30 days = 1800 hours
If the workers complete a fifth of the work, then the remaining work is:
Remaining work = Total work - 1/5 * Total work = 4/5 * Total work = 1440 hours
Let's say that "n" workers are fired after the first fifth of the work is completed, which means that there are now 12-n workers remaining. These workers work for 3 more hours each day than before, which means they now work for 5+3=8 hours per day.
Let's say that these workers complete the remaining work in "x" days. We know that they finish 4 days before the original deadline, which means that:
x + 4 = 30
x = 26
Now we can set up an equation to solve for "n". The total work done by the original 12 workers plus the remaining workers must equal the total remaining work:
12 workers * 5 hours/worker * (1/5) + (12-n) workers * 8 hours/worker * 26 days = 1440 hours
Simplifying this equation, we get:
12 + 8(12-n) = 144
Solving for "n", we get:
n = 4
Therefore, 4 workers were fired, leaving 8 workers to complete the remaining work in 26 days working 8 hours per day.
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Autor/a:
akira7nx1
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Califica una respuesta:
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