8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 10 men , 4 women and 30 children together complete the piece of work ?
"explanation : 1 man ’ s 1 day ’ s work = 1 / 8 × 12 = 1 / 96 10 men ’ s 1 day ’ s work = 1 × 10 / 96 = 5 / 48 1 woman ’ s 1 day ’ s work = 1 / 192 4 women ’ s 1 day ’ s work = 1 / 192 × 4 = 1 / 48 1 child ’ s 1 day ’ s work = 1 / 240 30 children ’ s 1 day ’ s work = 1 / 8 therefore , ( 10 men + 4 women + 30 children ) ’ s 1 day ’ s work = 5 / 48 + 1 / 48 + 1 / 8 = 1 / 4 the required no . of days = 4 days answer : option d"
inverse(add(multiply(10, inverse(multiply(24, 10))), add(multiply(inverse(multiply(12, 8)), 10), multiply(inverse(multiply(48, 4)), 4))))