machine a and machine b are each used to manufacture 440 sprockets . it takes machine a 10 hours longer to produce 440 sprockets than machine b . machine b produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machineaproduce ?
"time taken by b = t time taken by a = t + 10 qty produced by a = q qty produced by b = 1.1 q for b : t ( 1.1 q ) = 440 qt = 400 for a : ( t + 10 ) ( q ) = 440 qt + 10 q = 440 400 + 10 q = 440 q = 4 so a can produce 4 / hour . then b can produce = 4 ( 1.1 ) = 4.4 / hour . d"
divide(440, divide(multiply(multiply(10, 440), divide(add(const_100, 10), const_100)), subtract(multiply(440, divide(add(const_100, 10), const_100)), 440)))