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 53 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week? Select the correct option
A) 35 B) 36 C) 37 D) 38 E) 54
Amount earned by James = 40*x + 13*2x = 66x   Therefore, Amount earned by Harry = 66x   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 66x]]   So x*(1.5y -45 +30) = 66x   Or x*(1.5y - 15) = 66x   So 1.5y - 15 = 66   So 1.5y = 81   So y = 54   Answer is 54
<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 53 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?