A and B both work for the same company. A goes to work Monday through Thursday, and B goes to work Tuesday thru Thursday. A takes 2 weeks of vacation per year, and B only takes 1 week. They do not take their vacations during the same week. What percent of the year can they carpool to work together, assuming they both have the same schedule? 1 year = 52 weeks = 364 days	Choose the correct choice from the following
A) 42.9% B) 56.4% C) 45.6% D) 27.2% E) 40.4%
A works M T W Th and B works T W Th   A and B work the same days on T W TH or 3/7   They don't work the same schedule for 3 weeks out of 52.   For 49 of the 52 weeks (i.e. 49/52=94.2%) they can carpool 3 days each week (i.e. 3/7=42.9%)   In a year, they can carpool 49/52 x 3/7 = 147/364 or 40.4% of the year.   Answer is 40.4%
<result>E</result>
A and B both work for the same company. A goes to work Monday through Thursday, and B goes to work Tuesday thru Thursday. A takes 2 weeks of vacation per year, and B only takes 1 week. They do not take their vacations during the same week. What percent of the year can they carpool to work together, assuming they both have the same schedule? 1 year = 52 weeks = 364 days