A Plane Travels 1000 Miles in 2 Hours with a Tailwind

question 51

Essay

A plane travels 1000 miles in 2 hours with a tailwind. The return trip takes 2.5 hours with a headwind. Let p be the rate of the plane in still air in miles per hour and let w be the rate of the wind 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:

Cash Dividends

Payments made to shareholders out of a corporation's earnings in the form of cash.

Date Of Record

The specified date on which a company determines its shareholders of record to receive dividends or the beneficiaries of stock splits.

Preferred Stock

A class of ownership in a corporation that has a higher claim on its assets and earnings than common stock, often entitling holders to dividends before common shareholders.

Earnings Per Share

A financial metric that indicates the portion of a company's profit allocated to each outstanding share of common stock.