SOLUTION: Kim hiked half her planned trip the first day. Because she became tired, she covered only one-third of the remaining distance on the second day. Rain slowed her to one- fourth of t

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Question 1109622: Kim hiked half her planned trip the first day. Because she became tired, she covered only one-third of the remaining distance on the second day. Rain slowed her to one- fourth of the remaining distance on the third day. On the fourth day she hiked three miles, which was one fifth of the number of miles that she had left. How many miles did she hike during the four days?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the number of miles of the planned trip
+d+-+%281%2F2%29%2Ad+=+%281%2F2%29%2Ad+ is the distance left after
the 1st day
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+%281%2F3%29%2A%281%2F2%29%2Ad+=+%281%2F6%29%2Ad+ was hiked on the 2nd day,
so, +%283%2F6%29%2Ad+-+%281%2F6%29%2Ad+=+%281%2F3%29%2Ad+ is left to hike
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+%281%2F4%29%2A%281%2F3%29%2Ad+=+%281%2F12%29%2Ad+ was hiked on the 3rd day
so, +%284%2F12%29%2Ad+-+%281%2F12%29%2Ad+=+%281%2F4%29%2Ad+ is left to hike
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On the 4th day:
+3+=+%281%2F5%29%2A%281%2F4%29%2Ad+
+3+=+%281%2F20%29%2Ad+
+d+=+60+
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After the 4th day, She had hiked +d+-+%281%2F4%29%2Ad+=+%283%2F4%29%2Ad+
plus +3+ = +%283%2F4%29%2Ad+%2B+3+ miles
+%283%2F4%29%2A60+%2B+3+=+48+
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She hiked 48 miles during the 4 days
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check the answer:
+d+=+60+
The 1st day, she hiked 30 mi with 30 mi left
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The 2nd day, she hiked +%281%2F3%29%2A30+=+10+ mi
with +30+-+10+=+20+ mi left
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The 3rd day, she hiked +%281%2F4%29%2A20+=+5+ mi
with +20+-+5+=+15+ mi left
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On the 4th day, she hiked 3 mi, so there is
+15+-+3+=+12+ mi left
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The 3 mi on the 4th day was 1/4 of of the
12 mi that is left
OK