Embibe Experts Solutions for Chapter: Arithmetic, Exercise 12: Exercise 12

A can do a piece of work in $20 \mathrm{days}$ and B in $30 \mathrm{days}$. They work together for$7 \mathrm{days}$ and then both leave the work. Then C alone finishes the remaining work in $10 \mathrm{days}$. In how many days will C finish the full work?

Ten women can do a work in six days. Six men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?

X can do a piece of work in $20$ days and Y can do the same work in $30$ days. They finished the work with the help of Z in $8$ days. If they earned a total of Rs. $5550$, then what is the share of Z?

A,B and C and do a piece of work in $20 days, 30 days and 60 days$ respectively. A is helped by B and C every third day. In how many days will the work be completed -

A and B can do work in $12 \mathrm{days}$, B and C in $15 \mathrm{days}$, and C and A in $20 \mathrm{days}$. They all work together for $6 \mathrm{days}$ and then A left.In how many more days can B and C finish the remaining work?

$15$ men take $21 \mathrm{days}$ of $8 \mathrm{hours}$each to do a piece of work. How many days of $6 \mathrm{hours}$ each would $21$ women take, if $3$ women do as much work as $2$ men?

$A,B$ and $C$ can do a piece of work individually in $8,12$ and $15 \mathrm{days}$ respectively. $A$and $B$ start working together but $A$ quits after working for $2 \mathrm{days}$. After this, $C$ joins and works till completion of the work. In how many days will the work be completed?

A contractor engaged $100$ labourers for construction work to be completed in $96$ days. But only $\frac{1}{7}\mathrm{th}$ of the work was done in $\frac{1}{6}\mathrm{th}$ of the scheduled time. The additional number of labourers that will be required to complete the work in time is$:$