Stage 5's clue tells us that there were 150m 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 QED.

Puzzle 3

Take the number of days in a leap year, add the number of months with 30 days, divide by the number of loaves in a baker's dozen, add the number of days in March, add the square root of nine, divide by the number of days in a week.

Hint: Remember that there are 13 loaves in a baker's dozen.

Answer: September.

The numbers used are 366, +11, /13, +31, +3, /7 = 9.

Puzzle 4

Practical Peter was asked to cut a 99 foot rope into three smaller, equal length ropes.

However, as usual, Pete couldn't find his measuring tape so he guessed!

When he finally did find his tape (it was under his hat), he discovered that:

A) the second piece of rope was twice as long as the first piece, minus 35 feet (i.e. 2 x first, - 35).
B) the third piece of rope was half the length of the first, plus 15 feet (i.e. 0.5 x first, + 15)