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The total distance was 180 miles, but as I still had 5 miles to go, the required answer is 175 miles.
Reasoning
Let's try working backwards.
Day 4: I travelled 3⁄4, which means that the other 1⁄4 was 5 miles, and 20 miles were left at the start of day four.
Day 3: I travelled 2⁄3, which means that the other 1⁄3 was 20 mile, and 60 miles were left at the start of day three.
Day 2: I travelled 1⁄2, which means that the other 1⁄2 was 60 miles, and 120 miles were left at the start of day two.
Day 1: I travelled 1⁄3, which means that the other 2⁄3 was 120 miles, and 180 miles were ahead at the start of day one.
The full distance was therefore 180 miles, but we were asked how many miles I had travelled so far, and as I still had 5 to go the answer is 175 miles.
Double-Checking
Start distance: 180 miles.
Day 1: I travelled 1⁄3 of the distance (60 miles), leaving 120 miles.
Day 2: I travelled 1⁄2 of the distance (60 miles), leaving 60 miles.
Day 3: I travelled 2⁄3 of the distance (40 miles), leaving 20 miles.
Day 4: I travelled 3⁄4 of the distance (15 miles), leaving 5 miles.
The first letters of the words are spelling BrainBashers.
?
Puzzle 564
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: D O G D A Y S
C
L
K
A
T
E
S
P
I
Note: this puzzle is not interactive, and the squares cannot be clicked.
It is now four years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
