Reasoning
Stage 5's clue tells us that 150m was left. So the distance left at the start of Stage 4 must have been:
Dist4 = Dist4 + 75 + 150
—————
2
Which simplifies to give Dist4 = 450m.
Stage 3's clue tells us that 450m was one quarter of the remaining distance, so Dist3 = 1,800m.
Stage 2's clue tells us that the distance at the start of Stage 2 was:
Dist2 = Dist2 + 35 + 1800
—————
2
Which simplifies to give Dist2 = 3,670m.
Stage 1's clue tells us that 3,670m was half the overall distance, which means the entire ride was 7,340m.
Double-Checking
Starting with 7,340m:
Stage 1: cycled 3,670m, leaving 3,670m
Stage 2: cycled 1,870m, leaving 1,800m
Stage 3: cycled 1,350m, leaving 450m
Stage 4: cycled 300m, leaving 150m
Stage 5: cycled 150m, leaving 0m
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Puzzle 46
Place letters into the grid such that every row, column, and 2 x 2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.
Letters allowed: W A R M T H
V
O
L
S
I
B
O
A
E
L
Note: this puzzle is not interactive, and the squares cannot be clicked.
Hint
'in the back of the net' begins with the letter G.
Answers
good = not bad
wood = forest
wool = sock material
cool = not hot
cowl = hooded robe
coil = spiral of wire
soil = earthy ground
foil = roasting metal
foal = baby horse
goal = in the back of the net
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Puzzle 48
Hidden in these sentences are the numbers 1 to 10 (in words).
A number might appear in more than one sentence, and they might not be in order, but there is only one way to use all of the sentences and find all ten numbers.
The robins love hiding amongst the smooth reeds. It's always worth looking after your friends, even if they've upset you. Even heavyweight boxers like using soft tissues when they have a cold. To avoid the cliff, I veered sharply to the left. The eggs were boxed thirteen instead of a dozen in each baker's delivery box. Having salmon every day for lunch gets a little boring after a while. The attendance at the local football match exceeded last week's by many thousands. We need to waterproof our boots to make sure we don't get wet. Meeting friends after work allows executives to network effectively. The orchestra sounded magnificent with the three virtuosi xylophonists.
Answer Having salmON Every day for lunch gets a little boring after a while.Meeting friends after work allows executives to neTWOrk effectively.The robins love hiding amongst the smooTH REEds.We need to waterprooF OUR boots to make sure we don't get wet.To avoid the clifF, I VEered sharply to the left.The orchestra sounded magnificent with the three virtuoSI Xylophonists.It's always worth looking after your friendS, EVEN if they've upset you.Even heavywEIGHT boxers like using soft tissues when they have a cold.The eggs were boxed thirteen instead of a dozeN IN Each baker's delivery box.The atTENdance at the local football match exceeded last week's by many thousands.
