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 56 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?	Answers.
A) 35	B) 36	C) 37	D) 38	E) 58
Amount earned by James = 40*x + 16*2x = 72x   Therefore, Amount earned by Harry = 72x   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 72x]]   So x*(1.5y -45 +30) = 72x   Or x*(1.5y - 15) = 72x   So 1.5y - 15 = 72   So 1.5y = 87   So y = 58   Answer is 58
<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 56 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?