document.write( "Question 373567: Two surveyors with two-way radios leave the same point at 9:00 AM, one walking due south at 2 mi/hr and the other due west at 4 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.24 miles? \n" ); document.write( "
Algebra.Com's Answer #265862 by mananth(16946)![]() ![]() You can put this solution on YOUR website! one is moving south 2mph \n" ); document.write( "the other west.4mph \n" ); document.write( ".. \n" ); document.write( "they are moving at right angles from the starting point. \n" ); document.write( "radio range = 2.24 \n" ); document.write( "2.24*2= 4.48 miles is the maximum distance they can be in touch. \n" ); document.write( "let the time in contact be t hours \n" ); document.write( ".. \n" ); document.write( "south bound distance = 2t miles \n" ); document.write( "weatbound distance = 4t \n" ); document.write( ".. \n" ); document.write( "(4t)^2+(2t)^2= 4.48^2 \n" ); document.write( "16t^2+4t^2=20.0704 \n" ); document.write( "20t^2= 20.0704 \n" ); document.write( "t^2= 20.0704/20 \n" ); document.write( "t^2= 1 hour \n" ); document.write( "t = 1 hour they can be in contact \n" ); document.write( ".. \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |