Question

A group of tourists are on a 3-day long trip. They hike 1/8 of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?

Answer 1

Answer: 32 km (I believe)

Explanation: So, on the first day the tourists walked x/8 km.

Then the remaining distance after the first day is (x- x/8) = 7x/8 km.

On the second day, the tourists walked 4/7 of the REMAINING path, so now we multiply 4/7 by 7x/8 to get x/2 km.

So, the remaining path to travel after 2nd day is (7x/8-x/2) = 3x/8

Remember, on the third day they walked 1/3 of the remaining trail and the last 8 km.

So now, we do (3x/8 - 3x/8 x 1/3) = 8

Now, x/4 =8 ; to find x, we do 8 x 4 to get 32

So, our answer is 32

I hoped this helped!