Time and Work Questions

A and B can complete a piece of work in $10$ days. B and C can do it in $15$ days. A and C can do it in $12$ days. A, B and C together can complete it in how many days?

Some workers could complete a work in $150$ days. However, due to the absence of $15$ workers it was completed in $165$ days. Then the initial number of workers was:

Murad can do a piece of work in $33$ hours. If he is joined by Joel who is $100\%$ more efficient, in what time will they together finish the work?

A laboratory has to pay $\text{Rs. }67.50$ for $30$ days as a gas bill if it uses $35$ gas burners for $6\text{hours}$ a day. Find the amount to be paid if it uses $30$ gas burners for $18$ days working $7\text{hours}$ a day.

$A$ and $B$ together can do a piece of work in $25$ days. If $B$ works alone for the last $10$ days, it is completed in $30$ days. In how many days can $A$ alone do it?

If $25$ men can weave $120\text{metres}$ of cloth in a day, how many metres of cloth will be woven by $35$ men in a day?

If $50$ men do a piece of work in $12$ days working $8\text{hours}$ a day, how many hours a day would $60$ men have to work in order to do another piece of work twice as great in $16$ days?

The cost of printing a magazine of $540$ pages with $30$ lines on each page and $15$ words in each line is $\text{Rs. }7200$. Find the cost of printing a magazine of $450$ pages with $35$ lines on each page and $18$ words in each line.

If $10$ men can do a piece of work in $18$ days, in how many days can $12$ men do it?

$12$ men can do a piece of work in $30$ days. How many extra men should be engaged to do the work in $20$ days?

A contractor undertook to finish a road $12\text{km}$ long in $350$ days. But after employing $45$ men for $200$ days, he found that only $4\text{km}$ of the road had been built. How many additional men must be engaged to finish the work in the given time?

A man and a boy can do a piece of work in $36$ days. If the man works alone for the last $10$ days, the work is completed in $40$ days. How long would the boy take to do it alone?

Ramen deposits $\text{Rs. }100$ on the first day of every month in a monthly savings scheme. In this way, he has deposited money for $1$ year. If the rate of simple interest is $6\%$ per annum, then the total amount he will get at the end of the year is

X and Y can complete a work in 12 days and 18 days respectively. They started doing the work together but after 4 days Y had to leave and X alone completed the remaining work. In how many days was the whole work completed?

A garrison of 140 men has provisions for 35 days. At the end of 10 days, 35 more men joined them. How many days can they sustain on the remaining provisions?

At a construction site, 15 men or 10 machines can construct a room in 66 days. In how many days can 5 men and 4 machines together complete the work?

A group of men decided to complete a job in 4 days. However, since 10 men dropped out every day, the job got completed at the end of the 7th day. How many men were there in the beginning?

$A$ and $B$ can do a work in $13$ days and $26$ days, respectively. If they work for a day alternately, starting with $A$, then in how many days will the work be completed?