500 soldiers in a fort had enough food for 30 days but 125 soldiers were transferred to another fort. For how many days did the food last then?

If A and B together can complete a piece of work in 20 days and B alone in 25 days, in how many days can A alone complete the work?

A can do a piece of work in 6 days. B can do it in 9 days. With the assistance of C they completed the work in 3 days. In how many days can C alone do the work ?

X can do a work in 3 days, Y does three times the same work in 8 days, and Z does five times the same work in 12 days. If they have to work together for 6 hours in a day, then in how much time can they complete the work?