Multiple choice

Working simultaneously and independently at an identical constant rate, four machines of a certain type can produce a total of x units of product P in 6 days.How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product Pin 4 days?

  1. 24

  2. 18

  3. 16

  4. 12

  5. 8
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B Correct answer
Explanation

Work = (Machines * Days) / Units. (4 * 6) / x = (M * 4) / 3x. 24/x = 4M/3x. 24 = 4M/3. M = 18.

AI explanation

By applying the work formula where Machines1 times Days1 divided by Work1 equals Machines2 times Days2 divided by Work2, we substitute the given values. This gives 4 machines times 6 days divided by x equals the unknown machines times 4 days divided by 3x. Simplifying the ratio yields 24 divided by x equals 4 times the unknown machines divided by 3x, which results in 18 machines.

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