Solve Problems Using Systems in Three Variables
-Three Trains - $40 \mathrm { mph }$

question 223

Multiple Choice

Solve Problems Using Systems in Three Variables
-Three trains - one eastbound, one westbound, and one northbound - leave a city at the same time. The speed of the northbound train is 20 miles per hour greater than the speed of the eastbound train. After 3 hours, the distance between the westbound train and the eastbound train is 300 miles. Twice the speed of the westbound train is 60 miles per hour more than the speed of the northbound train. Find the speeds of the three trains.

• A) eastbound, \(40 \mathrm { mph }\); westbound, \(60 \mathrm { mph }\); northbound, \(60 \mathrm { mph }\)
• B) eastbound, \(50 \mathrm { mph }\); westbound, \(60 \mathrm { mph }\); northbound, \(70 \mathrm { mph }\)
• C) eastbound, \(30 \mathrm { mph }\); westbound, \(70 \mathrm { mph }\); northbound, \(60 \mathrm { mph }\)
• D) eastbound, \(60 \mathrm { mph }\); westbound, \(60 \mathrm { mph }\); northbound, \(40 \mathrm { mph }\)

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Definitions:

Interim Accounting Period

A financial reporting period that is shorter than a full fiscal year, often quarterly or monthly.

Financial Statements

Reports that summarize the financial performance, position, and cash flows of a business over a specific period.

Owner's Drawings Account

An account used to record withdrawals of assets from a business by the owner for personal use.

Income Summary Account

A temporary account used in accounting to transfer revenues and expenses at the end of an accounting period; its balance is ultimately transferred to retained earnings.