A kayaker travels x miles per hour downstream for 4 hours. On the 6-hour return trip, the kayaker travels 2 mile per hour slower
. How far did the kayaker travel in total? The kayaker traveled miles.
1 answer:
time * rate = distance
Downstream 4 * x = 4(x)
Upstream 6 * x - 2 = 6(x - 2)
distance downstream = distance upstream:
4(x) = 6(x - 2)
4x = 6x - 12
-2x = -12
x = 6
Distance Upstream: 4x = 4(6) = 24
Distance Upstream: 6(x - 2) = 6(6 - 2) = 6(4) = 24
Total distance traveled is Upstream + Downstream = 24 + 24 = 48
Answer: 48 miles
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