0
r = distance she rowed
w = distance she walked
t = total time to reach village
t = r/2 + w/5
r^2 = 2^2 + (6 - w)^2
r = (4 + 36 - 12w + w^2)^(1/2)
r = (w^2 - 12w + 40)^(1/2)
t = (w^2 - 12w + 40)^(1/2)/2 + w/5
t' = (1/2)(1/2)(w^2 - 12w + 40)^(-1/2)(2w - 12) + 1/5 = 0
(1/2)(1/2)(w^2 - 12w + 40)^(-1/2)(2w - 12) = -1/5
(1/2)(w - 6) = -1/5(w^2 - 12w + 40)^(1/2)
5(w - 6) = -2(w^2 - 12w + 40)^(1/2)
25(w^2 - 12w + 36) = 4(w^2 - 12w + 40)
(25 - 4)w^2 + (-25*12 + 4*12)w + 25*36 - 4*40 = 0
21w^2 - 252w + 740 = 0
w = 6.87, 5.13 mi
discard 6.87 ( > 6)
r = (w^2 - 12w + 40)^(1/2)
r = 2.18 mi
She should land her boat 5.13 miles away from village
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