document.write( "Question 171635: Two men start from the same corner \"A\", going in different directions around a field 1 mile square. The man going along AB walks 4 miles an hour, and the other man who is traveling AD goes 3 miles an hour. Where and after how long will they meet? \n" ); document.write( "
Algebra.Com's Answer #126789 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Two men start from the same corner \"A\", going in different directions around a field 1 mile square. The man going along AB walks 4 miles an hour, and the other man who is traveling AD goes 3 miles an hour. Where and after how long will they meet? \n" ); document.write( ": \n" ); document.write( "The perimeter (ABCD) of the square = 4 mi \n" ); document.write( ": \n" ); document.write( "The two men will have traveled a total distance of 4 mi when they meet. \n" ); document.write( "there: \n" ); document.write( "Let d = distance traveled by the 1st guy when they meet from \"A\" \n" ); document.write( "Then \n" ); document.write( "(4-d) = distance traveled by the 2nd guy when they meet \n" ); document.write( ": \n" ); document.write( "The travel times of both men will be the same \n" ); document.write( "Write time equation: Time = \n" ); document.write( ": \n" ); document.write( "A's time = B's time \n" ); document.write( " \n" ); document.write( "Cross multiply to find d \n" ); document.write( "3d = 4(4-d) \n" ); document.write( "3d = 16 - 4d \n" ); document.write( "3d + 4d = 16 \n" ); document.write( "7d = 16 \n" ); document.write( "d = \n" ); document.write( "Which would put him between C & D, actually 2/7 mi from C \n" ); document.write( ": \n" ); document.write( "Find the travel time of A, who is traveling 4 mph: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution using the 2nd man traveling 3 mph, find his distance (4-d) \n" ); document.write( ": \n" ); document.write( "4 - \n" ); document.write( "That would put him between D & C, actually 5/7 mi from D \n" ); document.write( ": \n" ); document.write( "Find the travel time of the 2nd guy who is traveling at 3 mph \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Did this procedure make sense to you? \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |