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Question

Twelve identical machines, running continuously at the same constant rate, take 8 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by 2 days?

A
2
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B
3
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C
4
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D
6
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E
9
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Solution

The correct option is C 4
4 additional machines: Let the work rate of 1 machine be r. Then the work rate of 12 machines is 12r, and you can set up an RTW chart:
The shipment work is then 96r. To figure out how many machines are needed to complete this work in 82=6days, set up another row and solve for the unknown rate:
Therefore, there are 96r6=16r machines in total, or 1612=4 additional machines.

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