RPH Editorial Team Solutions for Exercise 1: EXERCISE

$\mathrm{A}$ can do a piece of work in $40$ days. He worked at it for $5$ days and $\mathrm{B}$ finished the remaining work in $21$ days. In how many days can $\mathrm{A}$ and $\mathrm{B}$ together finish work?

$\mathrm{A}$ is thrice as good a workman as $\mathrm{B}$. Together they can do a job in $15$ days. In how many days $\mathrm{B}$ will finish it alone?

$A$ can do a work in $8$ days. $B$ can do in $6$ days. $A$ and $B$ can do the work on alternate days. If $A$ begins the work then the work can be finished in how many days?

$A$ can do a piece of work in $6$ days and $B$ alone can do it in $8$ days. $A$ and $B$ undertook to do it for $Rs. 320$ and with the help of $C$ they finished it in $3$ days. How much is paid to $C$ ?

$\mathrm{A}, \mathrm{B}, \mathrm{C}$ are employed to do a piece of work for $529$. $\mathrm{A}$ and $\mathrm{B}$ together are supposed to do $\frac{19}{23}$ of the work, what should $\mathrm{C}$ be paid?

Eight children and $12$ men complete a certain piece of work in $9$ days. Each child takes twice the time taken by a man to finish the work. In how many days will $12$ men finish the same work?

A cistern can be filled by pipes $\mathrm{A}$ and $\mathrm{B}$ in $12$ minutes and $16$ minutes respectively. When full tank can be emptied by a third pipe $\mathrm{C}$ in $8$ minutes only. If all the pipes be turned on at the same time, the cistern will be full in _____.

If $30$ men working $7$ hours can do a piece of work in $18$ days, in how many days will $21$ men working $8$ hours a day do the same piece of work?