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Workings

Hint
The first letters of the words are: T, C, C, G, T, B, S, B, D, G.

Answers
----rem = theorem ----oct = concoct ----pso = calypso ----dma = grandma ----edo = torpedo ----rre = bizarre ----sfy = satisfy ----ott = boycott ----hma = drachma ----dpa = grandpa

Workings

Hint
The gap between the two options is 2 hours.

Answer
The distance must have been sixty miles.

If Sir Edwyn left at noon and rode 15 miles an hour, he would arrive at four o'clock – an hour too soon. If he rode 10 miles an hour, he would arrive at six o'clock – an hour too late. But if he went at 12 miles an hour, he would reach the castle of the wicked baron exactly at five o'clock – the time appointed.

The text above is the answer given in the book, and below is a method of finding the answer.

If we call the distance to the castle, D and use the fact that Time = Distance ÷ Speed, we have:

Travelling at 15 mph:

   Time1 = D ÷ 15           (an hour too soon)

Travelling at 10 mph:

   Time2 = D ÷ 10           (an hour too late)

The time gap between these two times is 2 hours, therefore

   Time2 – Time1 = 2

   D ÷ 10 – D ÷ 15 = 2

Multiply throughout by 30:

   3D – 2D = 60

   D = 60 miles.

Workings

Hint
The answer is in the words given.

Answer
SLOW.

Reasoning
Take the third letter of the first word
   + the second letter of the second word
      + plus the first letter of the first word
         + plus the fourth letter of the second word.

Double-Checking
3-1- [1234] -2-4
S-F- [FAST] -A-T
O-S- [SLOW] -L-W

Workings

Hint
In the word LOG, why might the L have be replaced with 50?

Answer
FO10.

Reasoning
If there is a Roman numeral, it is replaced by its modern equivalent.
   I = 1
   V = 5
   X = 10
   L = 50
   C = 100
   D = 500
   M = 1000

Double-Checking
CLICK = 100 50 1 100 K MILK  = 1000 1 50 K LOG   = 50 O G LIFE  = 50 1 F E ALIVE = A 50 1 5 E FOX   = F O 10