Time and Work MATHS - Time and Work

A can do a piece of work in 20 days while B can do it in 15 days. With the help of C , they finish the work in 5 days. In what time would C alone do it?

A and B together can do a piece of work in 35 days, while A alone can do it in 60 days. How long would B alone take to do it?

A pipe can fill a tank in 16 hours. Due to a leak in the bottom, it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it?

A and B can do a piece of work in 30 days; B and C in 24 days; C and A in 40 days. How long will it take them to do the work together?
In what time can each finish it, working alone?

A can mow a field in 9 days; B can mow it in 12 days while C can mow it in 8 days. They all together mowed the field and received ₹ 1610 for it. How will the money be shared by them?

A can dig a trench in 6 days while B can dig it in 8 days. They dug the trench working together and received ₹ 1120 for it. Find the share of each in it.

Two pipes A and B can separately fill a cistern in 20 minutes and 30 minutes respectively, while a third pipe C can empty the full cistern in 15 minutes. If all the pipes are opened together, in what time the empty cistern is filled?

One tap can fill a cistern in 3 hours and the waste pipe can empty the full tank in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?