# The group now have 14 miles left, how many miles have they walked?

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A hiking group are on a five day expedition.

On the first day they cover one quarter of the total distance.

The next day they cover one quarter of what is left.

The following day they cover two fifths of the remainder and on the fourth day half of the remaining distance.

posted Aug 28, 2014

## 2 Solutions

they have traveled 68.96 miles

solution Nov 5, 2014

APPROXIMATELY 30 MILES.
let the total distance be x.
day 1=x/4.
day 2=1/4*3x/4.
day 3=2/5*1/4*3x/4.
day 4=1/2*2/5*1/4*3x/4.
day 5=14.
therefore day1 +2+3+4+5=x
=> x/4+1/4*3x/4+2/5*1/4*3x/4+1/2*2/5*1/4*3x/4+14=x
LCM=160.
75*x=2240.
x~~30 miles

solution Dec 21, 2014

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