# Three machines

The power of the three machines is 2: 3: 5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours?

Result

n =  1500

#### Solution:

$p_{ 1 } = \dfrac{ 2 }{ 2+3+5 } = \dfrac{ 1 }{ 5 } = 0.2 \ \\ p_{ 2 } = \dfrac{ 3+5 }{ 2+3+5 } = \dfrac{ 4 }{ 5 } = 0.8 \ \\ \ \\ h = 400 / p_{ 2 } = 400 / 0.8 = 500 \ \\ \ \\ n = 3 \cdot \ h = 3 \cdot \ 500 = 1500$

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