Samila is sitting under her tarp at the ocean and decides to walk to the snack shack. She can walk 1.7 feet per second in the sand and 2.4 feet per second on the sidewalk. Her tarp is 25 feet away from the nearest point B along a straight boardwalk. The snack shack is 87 feet away from point B. (So the distance from B to C is 87 feet). Sidewalk

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Samila is sitting under her tarp at the ocean and decides to walk to the snack shack. She can walk 1.7 feet
per second in the sand and 2.4 feet per second on the sidewalk. Her tarp is 25 feet away from the nearest
point B along a straight boardwalk. The snack shack is 87 feet away from point B. (So the distance from B
to C is 87 feet).
Sidewalk
Snack shack
If she walks in the sand along a straight line to the sidewalk and then walks the rest of the way on the
sidewalk, find an expression that gives the total time to reach the snack shack in terms of x, the distance
from B to where she first reaches the sidewalk.
T(x) =
Find the minimum time it takes for Samila to reach the snack shack. (I'm looking for the TIME here.)
DO NOT USE CALCULUS TO DO THIS.
Minimum TIME required to get to snack shack =
seconds.
(Round to the nearst second)
Transcribed Image Text:Samila is sitting under her tarp at the ocean and decides to walk to the snack shack. She can walk 1.7 feet per second in the sand and 2.4 feet per second on the sidewalk. Her tarp is 25 feet away from the nearest point B along a straight boardwalk. The snack shack is 87 feet away from point B. (So the distance from B to C is 87 feet). Sidewalk Snack shack If she walks in the sand along a straight line to the sidewalk and then walks the rest of the way on the sidewalk, find an expression that gives the total time to reach the snack shack in terms of x, the distance from B to where she first reaches the sidewalk. T(x) = Find the minimum time it takes for Samila to reach the snack shack. (I'm looking for the TIME here.) DO NOT USE CALCULUS TO DO THIS. Minimum TIME required to get to snack shack = seconds. (Round to the nearst second)
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