Time and Work Questions

At a workplace, one man alone can complete a work in 36 days. If the entire staff, i.e., 6 women and 4 men can complete the work in 6 days, how many days will one woman alone take to complete the entire work?

A and B can separately finish a work in 15 and 20 days, respectively. A starts the work and B joins him from the fifth day. How much time will it take to finish the complete work?

Badki can bake 45 cakes in 9 hours, Badki and Chutki together can bake 80 cakes in 10hours. How many cakes Chutki can bake in 40 hours?

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 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?

P and Q can do a project in 60 and 30 days respectively. In how many days can they complete 90% of the project if they work together?

A can do a work in 12 days and B in 18 days. If they work on it together for 4 days, then what fraction of work is left?

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?

Ajit is two times as good a workman as Badrinath and therefore is able to finish a job in $30$ days less than Badrinath. Working together, they can do it in:

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 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?

Mandar works 3 times as fast as Samarth. If Samarth can complete a job alone in 28 days, then in how many days can they together finish the job?

Two taps $X$ and $Y$ can fill a tank in $15$ hours and $20$ hours respectively. If the two taps are opened at 2 p.m., then at what time (in p.m.) should the tap $X$ be closed to completely fill the tank at exactly 2 a.m.?

A is 40% more efficient than B. If B alone can complete a work in 42 days, then A alone can complete the same work in how many days?

A does $60\%$ of a work in 15 days. He then calls B, and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A does 50% of a work in 12 days. He then calls in B and they together finish the remaining work in 8 days. How long B alone would take to complete the whole work?

To do a certain work, A is 40% more efficient than B. Working together, they can do the same work in 15 days. A started the work and left after 15 days. B and C together completed the remaining work in next 10 days. C alone can do one-third of the original work in:

Pannalal has done
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rd of a job in 20 days, Saiprasad completes the rest of the job in 10 days. In how many days can they together do the job?

$A$ 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?

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:

P and Q can do a project in 25 and 50 days respectively. In how many days can they complete 18% of the project if they work together?

A labourer can do a job in 36 hours. After 9 hours he takes a break. What fraction of the job is yet to be done?

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:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole 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?

Prabodh has done 1/2 of a job in 30 days, Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

A can do a certain work in 40 days. B is 60% more efficient than A. Both work together for 10 days. C alone completes the remaining work in 10
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days. Working together, B and C can complete 44% of the original work in:

Parimal has done
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th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

$X$ and $Y$ together finish a task in $12\text{ days}$. If $Y$ alone can finish the same task in $15\text{ days}$, then how many days will $X$ alone take to finish the task?

A and B together can complete a work in 15 days. If A, B and C working together can complete the same work in 10 days, then in how many days can C alone complete the same work?

$P$ and $Q$ can do a project in $150$ and $100$ days respectively. In how many days can they complete $60\%$ of the project if they work together?

Painter A can paint a house in 40 days and Painter B can do it in 60 days. With the help of C, they did the job in 20 days only. Then, C alone can do the job in:

Abhay can do a work in 22 days. Nidhi is 28% more efficient than Abhay. The number of days Nidhi will take to do the same piece of work is:

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.

A, B and C can do a piece of work in 20 days, 30 days and 60 days, respectively, working alone. How soon can the work be done if A is assisted by B and C each on every alternate day?

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?

A alone can complete a work in 18 days and B alone in 14 days. Starting with A, they work on alternate days. The total work will be completed in:

A, B and C can complete a piece of work in 3 days, 4 days and 6 days, respectively. They get Rs. 432 for completing the job. If A, B and C work together to complete the job, A’s share is:

Two persons $A$ and $B$ can complete a task in $10\text{ days}$ and $15\text{ days}$, respectively. They work together and $A$ leaves $5\text{ days}$ before the task is completed. The number of days taken to complete the whole task is: