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Question

My question is this : 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 hiked 1/3 of the remaining trail and the last 8 km. How many km is the whole trail?

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 hiked 

1

3

 of the remaining trail and the last 8 km. How many km is the whole trail?

Answer 1

Draw a sketch to help solve this.  You need to think of what you hiked, but also what was LEFT after each day:

 

Day #      Amount Hiked                             Amount Left

1             1/8                                              7/8

2             4/7 of amount left after day 1....

3             1/3 of amt left after day 1 and day 2......