Time and Work Questions

A and B can do a piece of work in 10 days. B and C can do the same work in 12 days. C and A can do the same work in 15 days. If all the three work together, find the number of days required to complete the work.

A can do a piece of work in $25$ days. After working for $5$ days, he took help of B and completed the work in $8$ days. If both A and B had worked together from the beginning, in how many days would they have completed the work?

Sarthak and Mohan are working on alternate days in a workshop. Sarthak can complete the work in $20$ days while Mohan can finish in $25$ days. Sarthak works on the 1st day, Mohan on the 2nd day, and so on. How much time (in days) will they take on alternate basis?

A completes a piece of work in 4 days and B completes it in 6 days. How long will it take to complete the same piece of work if they both work together?

Working separately, A and B can complete a work in 15 days and 18 days, respectively. If A starts the work and they work on alternate days, one on each day, then in how many days will the work be completed?

The wages of 10 workers for a six-day week are ₹1,200. What is the one-day wage of one worker?

A group of 25 tourists consume 5 containers of food in 8 days in a hotel. How many containers will be required for 10 tourists to eat for 16 days?

The one-day work of 2 men is equal to the one-day work of 4 women or the one-day work of 8 qualified workers. 10 qualified workers can finish a work in 8 days. If a man, a woman and a qualified worker work in the same order on three different days, the work is finished in ________ days.

The ratio of efficiencies of $A$ and $B$ for doing a certain work is $5:8$. Working together they can complete the work in $20$ days. $A$ alone will complete $25\%$ of that work in:

$A$ can complete $\frac{2}{3}$ of a work in $8$ days. $B$ can complete $\frac{3}{5}$ of the same work in $12$ days and $C$ can complete $\frac{4}{9}$ of the same work in $8$ days. If $A$ and $B$ worked together for $5$ days, then find how much time (in days) will $C$ alone take to complete the remaining work?

A can do $\frac{3}{5}\text{th}$ of a work in $12$ days, and B can do $\frac{1}{3}\text{rd}$ of that work in $15$ days. They worked together for $12$ days and then A left the work. B alone will complete the remaining work in how many days?

Working together A, B and C can complete a piece of work in $24$ days. After working together for $4$ days, C left the work. A and B completed the remaining work in $30$ days. The number of days taken by C alone to complete the same work is: