Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 44 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?  Pick: A) 35 B) 36 C) 37 D) 38 E) 42
Amount earned by James = 40*x + 4*2x = 48x   Therefore, Amount earned by James = 48x   But we know the amount Harry earned assuming working y hours (y&gt;30) is 30*x + (y-30)*1.5x   [[We know y&gt;30 because in 30h the most Harry could earn is 30x, but he has earned 48x]]   So x*(1.5y -45 +30) = 48x   Or x*(1.5y - 15) = 48x   So 1.5y - 15 = 48   So 1.5y = 63   So y = 42   Answer is 42
<result>E</result>
Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 44 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?