Working simultaneously and independently at an identical constant rate, 4 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 P in 4 days? A. 24B. 18C. 16D. 12E. 8

Question

Mathematics

Danielle Chandler

6 February, 11:47

Working simultaneously and independently at an identical constant rate, 4 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 P in 4 days? A. 24B. 18C. 16D. 12E. 8

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Strong · Answer 1

B. 18

Step-by-step explanation:

x units require: 4*6 = 24 days of job

3x units require: 3*24 = 72 days of job

If to be completed in 4 days,

72/4 = 18 machines will be required