A cruise ship can sail 28 mph in calm water. Sailing with...

A cruise ship can sail 28 mph in calm water. Sailing with the Gulf Stream, the ship can sail $170 \mathrm{mi}$ in the same amount of time it takes to sail $110 \mathrm{mi}$ against the Gulf Stream. Find the rate of the Gulf Stream.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Time-Distance Relationship

This concept is fundamental in problems involving motion, where time is calculated by dividing distance by speed. By applying the formula time = distance/speed, it is possible to set up equations that relate the time taken under different conditions, such as traveling with and against a current.

Setting Up and Solving Equations

To solve problems involving relative motion, one typically sets up an equation based on the equivalence of time taken in different scenarios. These equations often require algebraic manipulation and the solving of linear equations to find unknown variables like the speed of a current or wind.

Relative Speed in Currents

This concept involves understanding that when an object, such as a cruise ship, moves in a medium with a current, its effective speed changes depending on whether it is moving with or against the current. In mathematics and physics, the object's speed in still water is combined with the current's speed—added when going with the current and subtracted when going against it.

Transcript

Please give Ace some feedback