Question

A and b do a work in exactly 16 days, b and c do the same work in exactly 12 days while c and a do the same work in about 10 days. If a, b and c can together do the work in integral number of days, then c does the work alone in *

Answer 1

Step-by-step explanation:

A + B = 16 days

B + C = 12 days

C + A = 10 days

add all  equations

(A + B + C) x 2       = 1/16 + 1/12 + 1/10

                             = (15 + 20 + 24)/240

                             = 59/240

A + B + C              = 240*2/ 59

A + B + C              = 480/59

A + B + C - A - B  = 59/480 - 1/16

C                           = (59 - 30)/480

C                           = 29/480

C                           = 480/29

C                           = 16.5 days