document.write( "Question 1190516: Serena and Peter leave their houses that are 5 miles apart and travel in opposite directions away from each other. Peter travels s mph and Serena travels 15 mph faster than Peter. i need all the following answered .
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document.write( "how many miles did peter travel in 2 hours?
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document.write( "how many miles did Serina travel in 2 hours?
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document.write( "how far apart are peter and Serina?
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document.write( "what is peters speed what is serinas speed?
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document.write( "Serina and Pete are 215 miles apart after 2 hours use this info and write an equation \n" );
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Algebra.Com's Answer #822158 by math_tutor2020(3835) ![]() You can put this solution on YOUR website! \n" ); document.write( "s = Peter's speed \n" ); document.write( "s+15 = Serena's speed since she is 15 mph faster\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Calculate the distance Peter travels after 2 hours \n" ); document.write( "distance = rate*time \n" ); document.write( "distance = s*2 \n" ); document.write( "distance = 2s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do the same for Serena \n" ); document.write( "distance = rate*time \n" ); document.write( "distance = (s+15)*2 \n" ); document.write( "distance = 2s+30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add the distances and add the gap of 5 miles as well \n" ); document.write( "(2s)+(2s+30)+(5) = 4s+35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After 2 hours, the two people are 4s+35 miles apart \n" ); document.write( "Set this equal to the 215 mentioned and we get the following \n" ); document.write( "4s+35 = 215 \n" ); document.write( "4s = 215-35 \n" ); document.write( "4s = 180 \n" ); document.write( "s = 180/4 \n" ); document.write( "s = 45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Peter is traveling at a rate of 45 mph \n" ); document.write( "Serena is traveling at a rate of s+15 = 45+15 = 60 mph\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Question: How many miles did Peter travel in 2 hours? \n" ); document.write( "Answer: 90 miles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reason: \n" ); document.write( "distance = rate*time = 45*2 = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Question: How many miles did Serena travel in 2 hours? \n" ); document.write( "Answer: 120 miles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reason: \n" ); document.write( "Distance = rate*time = 60*2 = 120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Question: How far apart are Peter and Serena? \n" ); document.write( "Answer: 215 miles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reason: \n" ); document.write( "Stated in the instructions\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Question: What is Peters speed what is Serena's speed? \n" ); document.write( "Answer: \n" ); document.write( "Peter's speed = 45 mph \n" ); document.write( "Serena's speed = 60 mph\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reason: \n" ); document.write( "Calculated earlier. \n" ); document.write( " \n" ); document.write( " |