machine a and machine b are each used to manufacture 550 sprockets . it takes machine a 10 hours longer to produce 660 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 ) = 550 qt = 500 for a : ( t + 10 ) ( q ) = 550 qt + 10 q = 550 500 + 10 q = 550 q = 5 so a can produce 5 / hour . then b can produce = 5 ( 1.1 ) = 5.5 / hour . a"
divide(550, divide(multiply(multiply(10, 550), divide(add(const_100, 10), const_100)), subtract(multiply(550, divide(add(const_100, 10), const_100)), 550)))