$3$ painters can paint $2$ houses and $2$ sheds in a day or one house and $10$ sheds in $2$ days. How many days will it take $2$ painters to paint $5$ houses and $6$ sheds ?

How many days will it take Ink and Splat together to paint a fence, which Ink can paint alone in $4$ days and Splat alone in $2$ days? Give your answer as a fraction.

The cost of a newspaper varies directly to the number of pages and inversely to the number of advertisements. It costs $\$1.50$ per copy to publish a $25$-page newspaper with $50$ ads. If the newspaper has 60 ads, what is the maximum number of pages the newspaper can have to reduce the cost to $\$1.00$ per copy?

A box of cat food can feed $3$ cats for $4$ weeks. For how many days will the box last if there are $7$ cats?

Three people can pick all the apples from $5$ trees in $5$ hours. How many hours will it take $5$ people to pick all the apples from $5$ trees?

When the water is turned on, a bathtub will be filled in $12$ minutes. When the drain is opened, it takes $20$ minutes for a full tub to drain. If the water is turned on and the drain is left open, how long will it take to fill the tub? Give your answer in minutes.

Eight workers dug $\frac{3}{8}$ of a tunnel in $10$ days. If they need to finish the remaining $\frac{5}{8}$ of the tunnel in $3\frac{1}{3}$ days, how many more workers must they hire?