arithmetic - in a building contract 45 men can complete a work in 16 days six days after they started working 30 more men joined them how many days will they now take to complete the remaining work - skillgun

(45 * 16) men can complete the work in 1 day.
1 mans 1 days work = 1/720
45 mens 6 days work; = (1/16) * 6 = 3 / 8
Remaining work = (1 - (3/8)) = 5/8
75 mens 1 days work = 75/720 = 5/48
Now 5/48 work is done by them in 1 day.
5/8 work is done by them in (48/5) * (5x8) = 6 day

A and B together can do a piece of work in 12 days, which Band C together can
do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes
in 13 days. In how many days C alone will do the work