If machine A polishes x units in 12 minutes and machine B polishes 5x units in 40 minutes, in how many minutes will A and B, working together, polish 50x units?
Solution
Correct Answer: Option A
A polishes x/12 unit =1 minute and B polishes 5x/40 = x/8 minute
so, in 1 minute A and B together polishes x/12 + x/8 = 5x/24 units
so, 5x/24 unites requires 1 minute
So, 50x units require = (24 × 50x) / 5x = 240 minutes
so, in 1 minute A and B together polishes x/12 + x/8 = 5x/24 units
so, 5x/24 unites requires 1 minute
So, 50x units require = (24 × 50x) / 5x = 240 minutes
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