Time and Work Questions

A can complete a work in $18$ days. If B is only $90\%$ efficient as compared to A, then in how many days will B alone complete the same work?

A can finish a work in $33$ days and B can finish the same work in one-third the time taken by A. Working together, what part of the same work can they finish in $5$ days?

Pipes A and B can fill a tank in 4 hours and 6 hours 40 minutes, respectively; whereas a third pipe C can empty the full tank in 1 hour 40 minutes. A and B are opened at 2:00 p.m. and 3:00 p.m., respectively and C is opened at 4:00 p.m. The tank will be completely empty at:

Eight men can complete a work in 54 days. In how many days will 6 men and 12 boys complete the same work if one man works as much as 2 boys?

A tap can fill a tank in 6 hours. After 4 hours it was found that only 60% of the tank is full due to a leakage at the bottom which was then immediately repaired. In how much time will the tank be completely filled?

There are three inlet pipes X, Y and Z in a tank. X and Y can fill the tank in $45$ hours. Y and Z can fill the tank in $36$ hours. Z and X can fill the tank in $72$ hours. The number of hours in which all the three pipes can fill the tank, if operated simultaneously, is:

A, B and C can do $50\%$ of a work in $15$ days, $12$ days and $20$ days, respectively. They began the work together but A left $2$ days before the completion of the work. In how many days was the work completed?

A is three times more efficient than B and together they finish a piece of work in $30$ days. In how many days can A alone finish the same work?