Videos, worksheets, solutions and activities to help Algebra 1 students learn how to solve wind and current word problems.

Rate of Wind Problem #2

Solves this rate of wind problem using 2 variables and 2 linear equations.

Example: A plane flying against the wind flew 270 miles in 3 hours. Flying with the wind, the plane traveled 260 miles in 2 hours. Find the rate of the plane in calm air and the rate of the wind.

Shows how to solve a word problem involving the rate of a current and rowing in still water using 2 variables and 2 linear equations.

Example: A dolphin swimming against an ocean current traveled 60 miles in 2 hours. It then turned around to swim with the current and was able to get back to its starting place in 1.5 hours. Find the speed of the dolphin in still water and the rate of the current.

Shows how to solve a word problem involving the rate of a current and rowing in still water using 2 variables and 2 linear equations.

Example: A crew team rowed 18 miles in 2 hours, going with the current. Traveling against the current, it rowed 8 miles in the same amount of time. Find the rate of the crew in still water and the rate of the current.

How to solve wind and current word problems using 2 variables and a system of linear equations?

What happens to the rate when the wind is at your back?

What happens when you try to paddle a kayak upstream?

Examples:

(1) A plane can fly 3750 km in 3 hours with the wind. The plane takes 5 hours to travel the same distance against the same wind speed. Find the rate of the plane in still air. Find the speed of the wind.

(2) Jim can ow a boat 30 km downstream in 3 hours, but it takes him 5 hours to return. What is his rate in still water? What is the rate of the current?