Arihant Expert Team Solutions for Exercise 2: PRACTICE QUESTIONS for Phase I

$3$ men can do a piece of work in $12$ days, $5$ women in $8$ days and $20$ children in $3$ days. In how many days can a man, a woman and a child working together complete the piece of work?

A certain number of men can complete a piece of work in $40$ days. If there were $8$ men more the work could be finished in $10$ days less. How many men were there afterwards?

A certain number of men can complete a piece of work in $90$ days. If there are $8$ men less, it would take $10$ days more. How many men were there originally?

$A$ and $B$ complete a piece of work in $5$ days working together. If $A$ had worked twice as fast the work would have been completed in $4$ days. In how many days can $A$ alone complete the work?

Two men alone or three women alone can complete piece of work in $4$ days. In how many days can one woman and one man together complete the same piece of work?

A water tank has three taps $A, B$ and $C$. Tap $A$, when opened, can fill the water tank alone in $4 h$. Tap $B$, can fill the water tank alone in $6 h$ and tap $C$ can empty the water tank alone in $3 h$. If taps $A, B$ and $C$ are opened simultaneously. How long will it take to fill the tank completely?

$8$ men can complete a piece of work in $20$ days. $8$ women can complete the same work in $32$ days. In how many days will $5$ men and $8$ women together complete the same work.

$6$ men can complete a piece of work in $12$ days. $8$ women can do the same piece of work in $18$ days where as $18$ children can complete in $10$ days. $4$ men, $12$ women and $20$ children work together for $2$ days. If only men were to complete the remaining work in $1$ day, how many men would be required totally?