Worker a finishes the job in 10 hours; worker b finishes it in 12 hours, and worker c finishes it in 15 hours.

1. after a worked alone for two hours, and then b worked alone for 4 hours, how many hours will it take c alone to finish the remaining work?

it takes 40 minutes to fill a water tank, and 60 minutes to drain it.

2. if we try to fill the tank when empty while draining it for 1 minute, what fraction of the tank will be filled?

if they ask me that the tank is 2/3 full how will i find the minutes it will take to drain? do i divided 60?

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.