Three workers have a productivity ratio of 4 to 3 to 2. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
Select:
A) 12 to 1
B) 6 to 1
C) 5 to 1
D) 1 to 6
E) 3 to 10
The fastest worker who does 4 units of job worked for all 10 hours, so he did   4*10= 
<gadget id="calculator">  4*10</gadget>
<output>40</output>
40 units of job;   The slowest worker who does 2 unit of job worked for only   4+2= 
<gadget id="calculator">  4+2</gadget>
<output>6</output>
6 hours (first 4 hours and last 2 hours), so he did   2*6= 
<gadget id="calculator">  2*6</gadget>
<output>12</output>
12 units of job;   The ratio thus is 12 to 40, or 3 to 10.   Answer: 3 to 10.
<result>E</result>
Three workers have a productivity ratio of 4 to 3 to 2. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?