# A cycling group are on a five day ride for charity. On the first day ...............How many miles have they travelled?

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A cycling group are on a five day ride for charity.

On the first day they cover one third of the total distance, the next day they cover one third of what is left, the following day they cover one quarter of the remainder and on the fourth day they cover half of the remaining distance.

The group now have 15 miles left to cycle.

How many miles have they travelled?

posted Oct 23, 2018

+1 vote

90 miles

İf total distance is x, then
Day 1- x/3 reminder 2x/3
Day 2- 2x/3/3=2x/9 reminder 4x/9
Day 3- 4x/9/4=x/9 reminder x/3
Day 4- x/3/2=x/6 reminder x/6=15 miles
x=15*9=90 miles

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