Time and Work Questions

In 46.5 weeks, Ram raised Rs. 2,170 for science research. How much money will he raise in 30 weeks?

M and N can finish a piece of work in $15$ and $20\text{ days}$ respectively. If they complete the entire work working together, find the ratio of their income shares.

If $36\text{ bighas}$ of land can be irrigated in $16\text{ days}$ by a well-pump working $15\text{ hours}$ a day, how many days will it take to irrigate $42\text{ bighas}$ of land using the same pump if it works $10\text{ hours}$ a day?

A contractor undertakes to make a tunnel in $40$ days and employs $25$ men. After $24$ days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work $4$ days earlier?

$48$ men can do a work in $14$ days. Find the amount of work done by $5$ men in $12$ days.

A mountaineer ascends $30$ feet at the start of each hour, then pauses to rest and slides back $20$ feet before beginning his climb again at the start of the next hour. If he starts his climb at $8:00\text{a.m.}$, at what time will he first reach a flag positioned $120$ feet above the ground?

$7\text{men}$ or $10\text{women}$ can build a wall of $100\text{metres}$ in $10\text{days}$. How many days will $14\text{men}$ and $20\text{women}$ take to build a wall of $600\text{metres}$?

If $120$ persons can finish a work within $16\text{days}$ by working $6\text{hours}$ a day, then the number of hours per day that $64$ persons should work to finish that same job within $15\text{days}$ is:

Anita and Anand can complete a work in 12 days and 18 days respectively. They undertook to complete that work for ₹48,000. With the help of Arun, they completed the work in 6 days. Find the sum of the shares of Anita and Anand (in ₹).

If $64$ people can complete a piece of work in $8$ days by working $12$ hours a day, then how many hours a day should $32$ people work to complete the same work in $15$ days?

Nine pipes are attached to a tank, of which some are emptying pipes and some are filling pipes. Each filling pipe can fill the empty tank in $24\text{hours}$, while each emptying pipe can empty the fully filled up tank in $18\text{hours}$. If the tank is full and all the pipes are opened simultaneously, the tank is emptied after $9\text{hours}$. The number of emptying pipes is:

Sarthak can fill a sandpit with sand in $14\text{days}$ while Vivan takes $35\text{days}$ to fill it. Ali can empty all of the sand from a filled sandpit in $12\text{days}$. If all three start working when the pit is empty, in how many days will the sandpit be full again?

Working $12\text{hours}$ per day, Yashu can copy a book in $20\text{days}$. How many hours per day should he work to finish the work in $16\text{days}$?

A reservoir can be completely filled in $18\text{hours}$ by an inlet pipe. A leakage pipe can empty the full reservoir in $36\text{hours}$. If both pipes are opened together, find the time required to fill the reservoir.

Manav and Manu can complete a piece of work in $16$ days and $24$ days, respectively. They worked together for $8$ days, after which Manav leaves. In how many days can Manu finish the remaining work?

A group of $5$ workers can complete a job in $8$ days. If each worker is paid $\text{Rs. }400$ per day, what is the total wage paid to all workers?

Anu and Siri together can complete a piece of work in $20\text{ days}$. Anu alone can complete it in $40\text{ days}$. In how many days can Siri alone complete the work?