Random Puzzles 

Workings

Hint
A little bit of algebra might help.

Answer
I have 14 apples and you have 28 apples.

Reasoning
We can work this out with a little algebra. I have A apples and you have B apples, then
[1]  5 x (A – 7) = B + 7

[2]        A + 7 = B – 7

From [1] we have:

    5A – 35 = B + 7
[3]      5A = B + 42

From [2] we have:

[4]  A + 14 = B

We can then use [4] in [3] to give:

  5A = (A + 14) + 42
  5A = A + 56
  4A = 56
   A = 14

Which gives B = 28 (by [4]).

Workings

Hint
How many reservoirs can each drain in 36 hours?

Answer
7 hours and 12 minutes.

Reasoning
We can use a time that 12 hours and 18 hours both fit in to, in 36 hours:

   6 large pipes can drain 3 reservoirs.
   6 small pipes can drain 2 reservoirs.

Therefore, together, 6 large and 6 small pipes can drain 5 reservoirs.

36 hours ÷ 5 = 7.2 hours for one reservoir.

7.2 hours = 7 hours and 12 minutes for one reservoir.

Workings

Hint
The word begins with the letter H.

Answer
House.

To give: greenhouse, outhouse, lighthouse, birdhouse, boathouse, clubhouse, cookhouse.

Workings

Hint

Answer
49 tonnes of chicken feed, 46 tonnes of pig feed and 5 tonnes of cattle feed.