A Boat Takes a Long Trip Traveling 140 Miles Downstream

question 267

Essay

A boat takes a long trip traveling 140 miles downstream in 7 hours. The return trip upstream takes 10 hours. Let b be the rate of the boat in still water in miles per hour and let c be the rate of the current in miles per hour. Determine the two equations of the system described here.

Solve the system by the method of substitution. Interpret the solution.

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Definitions:

Industry Supply

The total quantity of a good or service that all producers in an industry are willing and able to sell at various prices over a certain period.

Marginal Cost

The elevation in overall cost triggered by assembling an extra unit of a product or service.

Overallocated

The condition of having allocated or committed more resources to a project, task, or item than is available or necessary.

Least-Cost

A method or strategy that involves choosing the option that minimizes the total costs of achieving a particular objective.