Two workers completed the painting of a building in 10 days. If they were to paint the building separately, how many days will it take each worker, if one of them can complete it in approximately 2 days earlier than the other.  Choose the correct choice from the following answers
A) 9 and 11  B) 19 and 21  C) 8 and 10  D) 10 and 15  E) 10 and 12
Work = (A)(B)/(A+B) where A and B are the individual times of each entity.   Here, we're told that (working together) the two workers would complete a job in 10 days. This means that (individually) each of them would take MORE than 10 days to do the job.   Answers E, A and C are illogical, since the individual times must both be greater than 10 days.   so we can TEST the values for Answers B and D.   Using the values for Answers B and D...   Answer 19 and 21: (19)(21)/(19+21) = 399/40 = 9.97 This is a match (complete it in approximately 2 days earlier than the other)   This IS a match   Final Answer:   19 and 21
<result>B</result>
Two workers completed the painting of a building in 10 days. If they were to paint the building separately, how many days will it take each worker, if one of them can complete it in approximately 2 days earlier than the other.