Attempt now to get your rank among 53 students!

Question 1:

A can do one-fourth of a piece of work in 2 days, whereas B can do half. B can do one-sixth the work as C do in 1 day. The ratio of their efficiencies of work is :

Question 2:

A and B can do a piece of work in 20 days and 30 days. Both start the work together for some time, but $\mathrm{B}$ leaves the job 5 days before the work is completed. Find the time in which work is finished.

Question 3:

$A$ and B, working together, can complete a work in d days. Working alone, $A$ takes $(8+$ d) days and $B$ takes $(18+$ d) days to complete the same work, A works for 4 days. The remaining work will be completed by B alone, in:

Question 4:

A finish a work in 1500 days and B can do the same work in 1815 days. Working together, they will complete the same work in how many days?

Question 5:

$\mathrm{P}$ can complete $\frac{9}{8}$ of a work in 30 days and $\mathrm{Q}$ can complete $\frac{5}{8}$ of the same work in 40 days. They worked together for 13 days and then $Q$ left. How much time will P working alone take to complete $\frac{5}{11}$ of the remaining work ?

Question 6:

A can build a wall in 10 days while B can break it in 4 days. A has worked for 6 days and then B joined to work with A for 2 days only. In how many days will A alone build up the remaining part of the wall?

Question 7:

12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days. Compare the daily work done by a men with that done by a boy?

Question 8:

A can alone finish a piece of work in 10 days. A and B together can do the same piece of work in $\frac{20}{3}$ days. A, B and C together can do the same piece of work in $\frac{40}{7}$ days. In how many days $\mathrm{B}$ and $\mathrm{C}$ together do the same piece of work?

Question 9:

D can do a work in 18 days and E can do the same work in half of that time. How many days will they take to finish the work, doing it together?

Question 10:

A and B each working alone can do a work in 15 days and 25 days respectively. They started the work together, but B left after some time and A finished the remaining work in 7 days. After how many days from the start did B leave?