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Hint: These are the first letters of the words: A, C, D, D, I, L, M, N, P, R.

Answer:

acq + uit + tal = acquittal
con + duc + tor = conductor
dec + kch + air = deckchair
dif + fer + ent = different
imp + ort + ant = important
lig + htn + ing = lightning
myt + hol + ogy = mythology
new + sag + ent = newsagent
pol + ice + man = policeman
rec + tan + gle = rectangle

Puzzle 402

During the recent BrainBashers cipher convention, a Morse code contest took place. The contest consisted of a Morse code transmission where the spaces between the letters and words were missing. Can you find the ten animals?

At the local model boat club, four friends were talking about their boats.

There were a total of eight boats, two in each colour, red, green, blue and yellow. Each friend owned two boats. No friend had two boats of the same colour.

Alan didn't have a yellow boat. Brian didn't have a red boat, but did have a green one. One of the friends had a yellow boat and a blue boat and another friend had a green boat and a blue boat. Charles had a yellow boat. Darren had a blue boat, but didn't have a green one.

Can you work out which friend had which coloured boats?

Answer:
Alan had a red boat and a green boat.
Brian had a green boat and a blue boat.
Charles had a yellow boat and a red boat.
Darren had a blue boat and a yellow boat.

Puzzle 404

A rope swing hangs vertically down so that the end is 12 inches from the ground, and 48 inches from the tree.

If the swing is pulled across so that it touches the tree, it is 20 inches from the ground.

Hint: You might find Pythagoras' theorem very useful [a^{2} + b^{2} = c^{2}].

Answer: 148 inches.

We can use Pythagoras' theorem if we draw an imaginary line across to create a right-angled triangle.

The hypotenuse is equal to the rope's length R. The bottom of the triangle is 48 inches. The vertical side is R - 8 (the difference between 20 inches and 12 inches).

Pythagoras' theorem tells us that:

a^{2} + b^{2} = c^{2}

Where c is the hypotenuse.

This gives us:

48^{2} + (R - 8)^{2} = R^{2}

^{ }^{ } 2304 + (R - 8)(R - 8) = R^{2}

^{ } 2304 + R^{2} - 16R + 64 = R^{2}

^{ }^{ } 2304 - 16R + 64 = 0

^{ }^{ } 16R = 2368

^{ }^{ } R = 148

As required. QED.

Puzzle 405

Using the BrainTracker grid below, how many words can you find? Each word must contain the central P and no letter can be used twice. The letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?

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