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 50 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?  Options.
A) 35  B) 36  C) 37  D) 38  E) 50
Amount earned by James = 40*x + 10*2x =60x   Therefore, Amount earned by James = 60x   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 60x]]   So x*(1.5y -45 +30) = 60x   Or x*(1.5y - 15) = 60x   So 1.5y - 15 = 60   So 1.5y = 75   So y = 50   Answer is 50
<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 50 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?