working together at their respective constant rates , machine a and machine b can produce 1,500 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1,500 unit total would it produce ?
"1 / a + 1 / b = 1 / t 1 / a + 1 / 14 = 1 / 8 ( 50 % more of 8 is 14 ) 1 / a = 1 / 24 machine a can produce 1500 units in 24 hrs , so it can produce 1500 * 8 / 24 = 500 units is 8 hrs . 500 is 30 % of 1500 . c is the answer"
multiply(divide(multiply(subtract(divide(multiply(multiply(const_4, const_4), const_100), 8), divide(multiply(multiply(const_4, const_4), const_100), add(8, divide(multiply(8, 50), const_100)))), 8), multiply(multiply(const_4, const_4), const_100)), const_100)