Answered

how many machines will be needed to complete a task in 8 days, given that 4 machine can complete the same task in 12 days

Answer :

TOWL35GO

Answer:

6 machines

Step-by-step explanation:

Let x be the time needed for 1 machine to complete the job, so rate of one machine is (rate is the reciprocal of time)

[tex] \frac{1}{x} [/tex]

rate of 4 machines would be

[tex]1 \: job = 12 \times \frac{4}{x} = \frac{48}{x} \\ 1 \: macine \: takes \: 48 \: days[/tex]

[tex] \frac{48 \: days \: per \: machine}{8 \: days} = 6 \: machines[/tex]

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