a and b undertake to do a piece of work for $ 500 . a alone can do it in 5 days while b alone can do it in 10 days . with the help of c , they finish it in 2 days . find the share of c ?
"c ' s 1 day work = ( 1 / 2 ) - ( 1 / 5 + 1 / 10 ) = 1 / 5 a : b : c = 1 / 5 : 1 / 10 : 1 / 5 = 2 : 1 : 2 b ' s share = 500 * 2 / 5 = $ 200 answer is a"
multiply(divide(multiply(multiply(2, 10), inverse(5)), add(add(multiply(multiply(2, 10), subtract(inverse(2), add(inverse(5), inverse(10)))), multiply(multiply(2, 10), inverse(5))), multiply(multiply(2, 10), inverse(10)))), 500)