Math Problem Statement
Solution
It seems you've uploaded a file with some mathematical problems related to boat movement in a river. Let's break down the problems:
Problem 8: A boat moves downstream from A to B, taking 1 hour and 10 minutes, and goes upstream from B to A, taking 1 hour and 30 minutes. The river's current speed is 2 km/h. The task is to calculate the boat's own speed (its speed in still water).
Problem 9: A boat moves downstream from A to B, taking 5 hours, and upstream from B to A, taking 7 hours. The river current's speed is 3 km/h. The goal is to calculate the distance between points A and B.
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Math Problem Analysis
Mathematical Concepts
Boat Movement
Relative Speed
Speed, Time, and Distance
River Current Effect
Formulas
Speed = Distance / Time
Downstream Speed = Boat Speed + River Speed
Upstream Speed = Boat Speed - River Speed
Theorems
Relative Speed Theorem
Suitable Grade Level
Grades 9-11
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