Question

Tourists were on a hiking trip for three days. On the first day, they hiked 1/8 of the trail. On the second day they hiked 4/7 of the remaining trail. On the third day they hiked1/3 of the remaining trail and the last 8 km. How many km is the whole trail?

Answer 1

Whole trip is 64/7 km I think.

Answer 2

64/7 i think

Explanation:

whole trip ---- x km

day1 , hiked 1/8 of train, leaving (7/8)x

day 2 , hiked 4/7 of (7/8)x leaving

(3/7)(7/8)x or (3/8)x to be hiked

day3 :

(1/3)(3/8)x + 8 = x

x/8 + 8 = x

times 8

x + 64 = 8x

7x = 64

the trail is 64/7 km

check:

day 1 they hiked (1/8)(64/7)

leaving (7/8)(64/7) = 8 km

day2, hiked 4/7 of remaining, leaving

(3/7)(8) or 24/7 km

day 3

(1/3)(24/7) + 8

= 64/7

yeahhh!