Comments

Challenge 99 Response


The Pancho Villa Trip

We have three numbers, one in each milestone:

xy yx x0y
We can see that x must be less than y, because the distance in the second landmark must be greater than the distance in the first.

We can also conclude that x = 1, because the distance between each landmark is a 2-digit number, and the sum of two 2-digit numbers will never result in a value greater than 198.
Then we can write the three numbers as follows:
10 + y 10.y + 1 100 + y
We want to know the speed that Pancho Villa walks.

Let's call this speed z. Then we can assemble the following equations:

z = (10y + 1) - (10 + y) and z = (100 + y) - (10y + 1)
Overriding the value of z In the second equation we have:

(10y + 1) - (10 + y) = (100 + y) - (10y + 1)
9y-9
= 99-9y
18y = 108
y = 6

Now just put this value in the first equation to find the z:

z = (10.6 + 1) - (10 + 6)
z = 60 + 1-10-6
z = 45

So Pancho Villa walked at a speed of 45km / h.

Back to the statement