document.write( "Question 1027166: A battalion 20 miles long advances 20 miles. During this time, a messenger on a horse travels from the rear of the battalion to the front and immediately turns around, ending up precisely at the rear of the battalion upon the completion of the 20-mile journey. How far has the messenger traveled? \n" ); document.write( "

Algebra.Com's Answer #642444 by MathTherapy(10555) $\"\"$ $\"About$

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A battalion 20 miles long advances 20 miles. During this time, a messenger on a horse travels from the rear of the battalion to the front and immediately turns around, ending up precisely at the rear of the battalion upon the completion of the 20-mile journey. How far has the messenger traveled?
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Let the number of miles the battalion traveled, when the messenger got to its front, be M
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document.write( "Then number of miles the battalion traveled, when the messenger traveled from the front to the rear = 20 - M\r
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document.write( "The messenger traveled the length of the battalion, or 20 miles, plus the distance the battalion had traveled when he/she got to the front\r
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document.write( "He/She then traveled the length of the battalion (20 miles), once again, plus the distance the battalion had traveled when he/she got to the rear \r
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document.write( "So, the messenger traveled a total of: 20 + M + 20 + 20 - M, or  \n" );
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