Inverse Proportion

If $15$men can complete a work in $12$days. How many men will complete the same work in $6$ days?

correct alternative from the given choices.
A cashier in a bank can count $100$notes in one minute. A counting machine can do the same job in $20$seconds. If they work together, how long does it take to count $100$notes?

A tap fill $\frac{1}{2}$ of a tank in $1 \mathrm{hour}$. Another tap empties $\frac{1}{4}$ of the tank in $1 \mathrm{hour}$. If both of the taps are open together, then find the time when the tank will get filled completely.

A tap fill $\frac{1}{3}$ of a tank in $1$ hour. Another tap empties $\frac{1}{4}$ of the tank in $1$ hour. If both of the taps are opened together, then find the time when the tank will get filled completely.

If $8$ persons can build a $150 \mathrm{m}$ long wall in $5$ days, how many persons will build $480 \mathrm{m}$ long wall in $8$ days$?$

A bookseller has enough money to buy $40$ books worth $₹125$ each. How many books he will be able to buy if he get a discount of $₹25$ on each book.

5 men or 10 women can complete a work in 6 days. How many days it would take for 1 man and 4 women to complete that work?

Minti can do a piece of work in $12$ days. Minti and Rinki together can together finish the work in $8$ days. Find the work left if Rinki alone works on it for $4$ days

Minti can do a piece of work in $12$ days. Minti and Rinki together can together finish the work in $8$ days. Find the number of days in which Rinki alone can finish the work.

A garrison of $1500$soldiers in a fort has food-stuffs for $12$weeks. How many soldiers can be fed with the same amount of food-stuffs for $20$weeks if the daily ration per head is reduced in the ratio $9:10$?

The higher the speed of a car, the lesser time it takes to reach its destination. What example of variation can be seen here?

What is the correct equation that relates ‘x’ and ‘y’ inversely, when y = 3 and x = 8.32?

Which variation does the equation xy = 8 represent?

Sowmya wants to distribute 3 dozen cupcakes on her birthday, among 12 of her friends. The number of friends who are going to come to her party increases to 18. What variation will Sowmya follow between the number of cupcakes per person versus the number of friends attending the party?

A camp had provisions for$490$ soldiers for $65$ days. After $15$ days, more soldiers arrived and the remaining provisions lasted for $35$ days. How many soldiers joined the camp?

$A, B$ and $C$ can complete a work in $5$ days. If $A$ and $C$ can complete the same work in $7\frac{1}{2}$ days and $A$ alone in $15$ days, then in how many days can $B$ and $C$ finish the work? Write the answer in mixed fraction.

$5$ boys or $3$ girls can do a science project in $40$ days. How long will it take for $15$ boys and $6$ girls to do the same project?

A man takes $10$ days to finish a job where as a woman takes $6$ days to finish the same job. Together they worked for $3$days and then the woman left. In how many days will the man complete the remaining job?