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# AN airline passenger fell asleep halfway to her destination.

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Joined: 05 Oct 2005
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AN airline passenger fell asleep halfway to her destination. [#permalink]  17 Jun 2006, 04:49
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AN airline passenger fell asleep halfway to her destination. When she awoke, the distance remaining was half the distance traveled while she slept. How much of the entire trip did she sleep?

plz explain your approach and reasoning and equations used
thanks
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Director
Joined: 13 Nov 2003
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i do not have math explanation but will try with words.
Remaining=1/2sleep
sleep+remaining=1/2of the trip
3/2sleep=1/2trip
2trip=6sleep then she slept 1/3 of the trip
hope it helps
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Joined: 18 Apr 2006
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Let the total distance be 6 miles.

When the passenger started sleeping, remaining distance was 3miles.

When she woke up,

distance she slept + remaining distance = 3 miles

from thequestion, remaining distance = 1/2 distance she slept

hence, distance she slept + 1/2 distance she slept = 3

distanceshe slept = 2 miles which is 2/6 hence 1/3
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