document.write( "Question 147045: Hi. I am writing is to inform you that I really need help in solving distance word problems. I also will ask you a specific question connected with age word problem. This has nothing to do with home work but I am planning on taking the graduate management admission test (GMAT) probably before the end of this year.\r
\n" ); document.write( "\n" ); document.write( "Here are the distance word problems, age word problem and questions connected to these problems:\r
\n" ); document.write( "\n" ); document.write( "Problem 1: A 555 mile, 5 hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?\r
\n" ); document.write( "\n" ); document.write( "Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.\r
\n" ); document.write( "\n" ); document.write( "Here is the part of the equation that I have the question for you:\r
\n" ); document.write( "\n" ); document.write( "555-d=115(5-t).\r
\n" ); document.write( "\n" ); document.write( "Question 1: I want to know from the above equation, where does this minus \"-\" sign (555 \"-\"d=115(5-t) come from? I did read the above distance word problem and I did not see any key words connected with subtration (-). So I need to know where does the (-) come from?\r
\n" ); document.write( "\n" ); document.write( "Problem 2: A car and a bus set out at 2pm from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours the car is 20 miles ahead of the bus. Find the rate of the car.\r
\n" ); document.write( "\n" ); document.write( "Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.\r
\n" ); document.write( "\n" ); document.write( "Here is part of the equation concerning problem 2. \r
\n" ); document.write( "\n" ); document.write( "d+20=2(2r-30).\r
\n" ); document.write( "\n" ); document.write( "Question 2: I want to know from the above equation, where does this plus \"+\" sign (d\"+\"20=2(2r-30) come from? I did read the above distance word problem and I did not see any key words connected with addition (+). So I need to know where does the (+) come from?\r
\n" ); document.write( "\n" ); document.write( "Age Word Problem\r
\n" ); document.write( "\n" ); document.write( "I noticed this equation with the solution from an age word problem:\r
\n" ); document.write( "\n" ); document.write( "H/2+1+H/3-1=20\r
\n" ); document.write( "\n" ); document.write( "H/2+H/3=20\r
\n" ); document.write( "\n" ); document.write( "3H+2H=120\r
\n" ); document.write( "\n" ); document.write( "5H=120\r
\n" ); document.write( "\n" ); document.write( "H=24\r
\n" ); document.write( "\n" ); document.write( "Question 3: I want to know from the above equation with the solution where does the 120 come from?\r
\n" ); document.write( "\n" ); document.write( "Here is the last question:\r
\n" ); document.write( "\n" ); document.write( "I solved this equation and I need to know if it is correct:\r
\n" ); document.write( "\n" ); document.write( "2r + 20 = 4r - 60\r
\n" ); document.write( "\n" ); document.write( "4r - 60
\n" ); document.write( "2r + 20
\n" ); document.write( "________
\n" ); document.write( "2r - 40
\n" ); document.write( "-- -- r = -20
\n" ); document.write( "2r 2r\r
\n" ); document.write( "\n" ); document.write( "The answer is -20. Am I correct? \r
\n" ); document.write( "\n" ); document.write( "Thank You.\r
\n" ); document.write( "\n" ); document.write( "Note: The above word problems come from a source other than a textbook. It is from a website (www.purplemath.com)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #853681 by MathTherapy(10719)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi. I am writing is to inform you that I really need help in solving distance word problems. I also will ask you a specific question connected with age word problem. This has nothing to do with home work but I am planning on taking the graduate management admission test (GMAT) probably before the end of this year.\r\n" );
document.write( "===\r\n" );
document.write( "Here are the distance word problems, age word problem and questions connected to these problems:\r\n" );
document.write( "=====\r\n" );
document.write( "Problem 1: A 555 mile, 5 hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?\r\n" );
document.write( "====\r\n" );
document.write( "Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.\r\n" );
document.write( "======\r\n" );
document.write( "Here is the part of the equation that I have the question for you:\r\n" );
document.write( "=====\r\n" );
document.write( "555-d=115(5-t).\r\n" );
document.write( "====\r\n" );
document.write( "Question 1: I want to know from the above equation, where does this minus \"-\" sign (555 \"-\"d=115(5-t) come from? I did read the above distance word problem and I did not see any key words connected with subtration (-). So I need to know where does the (-) come from?\r\n" );
document.write( "\r\n" );
document.write( "Problem 2: A car and a bus set out at 2pm from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours the car is 20 miles ahead of the bus. Find the rate of the car.\r\n" );
document.write( "\r\n" );
document.write( "Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.\r\n" );
document.write( "\r\n" );
document.write( "Here is part of the equation concerning problem 2. \r\n" );
document.write( "d+20=2(2r-30).\r\n" );
document.write( "Question 2: I want to know from the above equation, where does this plus \"+\" sign (d\"+\"20=2(2r-30) come from? I did read the above distance word problem and I did not see any key words connected with addition (+). So I need to know where does the (+) come from?\r\n" );
document.write( "\r\n" );
document.write( "Age Word Problem\r\n" );
document.write( "I noticed this equation with the solution from an age word problem:\r\n" );
document.write( "H/2+1+H/3-1=20\r\n" );
document.write( "H/2+H/3=20\r\n" );
document.write( "3H+2H=120\r\n" );
document.write( "5H=120\r\n" );
document.write( "H=24\r\n" );
document.write( "\r\n" );
document.write( "Question 3: I want to know from the above equation with the solution where does the 120 come from?\r\n" );
document.write( "\r\n" );
document.write( "Here is the last question:\r\n" );
document.write( "\r\n" );
document.write( "I solved this equation and I need to know if it is correct:\r\n" );
document.write( "\r\n" );
document.write( "2r + 20 = 4r - 60\r\n" );
document.write( "\r\n" );
document.write( "4r - 60\r\n" );
document.write( "2r + 20\r\n" );
document.write( "________\r\n" );
document.write( "2r - 40\r\n" );
document.write( "--   -- r = -20\r\n" );
document.write( "2r   2r\r\n" );
document.write( "\r\n" );
document.write( "The answer is -20. Am I correct? \r\n" );
document.write( "\r\n" );
document.write( "Thank You.\r\n" );
document.write( "\r\n" );
document.write( "Note: The above word problems come from a source other than a textbook. It is from a website (www.purplemath.com)\r\n" );
document.write( "===================================\r\n" );
document.write( "===================================\r\n" );
document.write( "Problem 1: A 555 mile, 5 hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the\r\n" );
document.write( "tailwind picked up and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?\r\n" );
document.write( "\r\n" );
document.write( "Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.\r\n" );
document.write( "\r\n" );
document.write( "Here is the part of the equation that I have the question for you:\r\n" );
document.write( "\r\n" );
document.write( "555-d=115(5-t).\r\n" );
document.write( "\r\n" );
document.write( "Question 1: I want to know from the above equation, where does this minus \"-\" sign (555 \"-\"d=115(5-t) come from? I did read the above\r\n" );
document.write( "distance word problem and I did not see any key words connected with subtration (-). So I need to know where does the (-) come from?\r\n" );
document.write( "\r\n" );
document.write( "The total distance was 555 miles, and there were 2 LEGS during the trip: the 1st leg when the plane traveled at\r\n" );
document.write( "105 mph, and the 2nd leg when it traveled at 115 mph. Neither the 1st leg's nor the 2nd leg's distance is known.\r\n" );
document.write( "What is known is the total distance covered over the 2 legs (555 miles). So, the distance covered over the 1st leg\r\n" );
document.write( "was named \"d.\" Then, obviously, the 2nd leg's (115 mph-LEG) distance was \"555 - d\" (the total distance, less the \r\n" );
document.write( "distance covered on the 1st leg).\r\n" );
document.write( "\r\n" );
document.write( "Hope you understand this!!\r\n" );
document.write( "========================\r\n" );
document.write( "Problem 2: A car and a bus set out at 2pm from the same point, headed in the same direction. The average speed of the car is 30 mph slower\r\n" );
document.write( "than twice the speed of the bus. In two hours the car is 20 miles ahead of the bus. Find the rate of the car.\r\n" );
document.write( "\r\n" );
document.write( "Note: Do not worry about solving the word problem above. Just provide me with the response to the question below.\r\n" );
document.write( "\r\n" );
document.write( "Here is part of the equation concerning problem 2. \r\n" );
document.write( "\r\n" );
document.write( "d+20=2(2r-30).\r\n" );
document.write( "\r\n" );
document.write( "Question 2: I want to know from the above equation, where does this plus \"+\" sign (d\"+\"20=2(2r-30) come from? I did read the above distance\r\n" );
document.write( "word problem and I did not see any key words connected with addition (+). So I need to know where does the (+) come from?\r\n" );
document.write( "\r\n" );
document.write( "The ACTUAL distances covered by the car and bus aren't known, so the distance covered by the bus, 2 hours after both\r\n" );
document.write( "headed out, was named \"d.\" \r\n" );
document.write( "Two hours after both headed out, the bus had covered \"d\" miles, while the car, which was 20 miles ahead of the bus, at\r\n" );
document.write( "that time, had covered \"d + 20\" miles \r\n" );
document.write( "\r\n" );
document.write( "Hope you understand this!!\r\n" );
document.write( "========================================\r\n" );
document.write( "Age Word Problem\r\n" );
document.write( "I noticed this equation with the solution from an age word problem:\r\n" );
document.write( "H/2+1+H/3-1=20\r\n" );
document.write( "H/2+H/3=20\r\n" );
document.write( "3H+2H=120\r\n" );
document.write( "5H=120\r\n" );
document.write( "H=24\r\n" );
document.write( "\r\n" );
document.write( "Question 3: I want to know from the above equation with the solution where does the 120 come from?\r\n" );
document.write( "\r\n" );
document.write( "       \"H%2F2+%2B+1+%2B+H%2F3+-+1+=+20\"\r\n" );
document.write( "           \"H%2F2+%2B+H%2F3+=+20\"\r\n" );
document.write( "Multiplying by LCD (Lowest Common Denominator), 6, we get:\r\n" );
document.write( "    \"6%28H%2F2%29+%2B+6%28H%2F3%29+=+6%2820%29\"\r\n" );
document.write( "\"3cross%286%29%28H%2Fcross%282%29%29+%2B+2cross%286%29%28H%2Fcross%283%29%29+=+6%2820%29\"\r\n" );
document.write( "         \"3H+%2B+2H+=+highlight%28120%29\"\r\n" );
document.write( "\r\n" );
document.write( "Hope you understand this!!\r\n" );
document.write( "==================\r\n" );
document.write( "Here is the last question:\r\n" );
document.write( "\r\n" );
document.write( "I solved this equation and I need to know if it is correct:\r\n" );
document.write( "2r + 20 = 4r - 60\r\n" );
document.write( "4r - 60\r\n" );
document.write( "2r + 20\r\n" );
document.write( "________\r\n" );
document.write( "2r - 40\r\n" );
document.write( "--   -- r = -20\r\n" );
document.write( "2r   2r\r\n" );
document.write( "The answer is -20. Am I correct? \r\n" );
document.write( "\r\n" );
document.write( "No!!! That's WRONG, unfortunately!\r\n" );
document.write( "2r + 20 = 4r - 60\r\n" );
document.write( "4r - 60\r\n" );
document.write( "2r + 20\r\n" );
document.write( "________\r\n" );
document.write( "2r - 40 <======= This is WRONG!!\r\n" );
document.write( "2r - 80 = 0 <=== This is what it should be!!\r\n" );
document.write( "2r = 80\r\n" );
document.write( "--   -- r = 40< ==== This is what it should be!!\r\n" );
document.write( "\r\n" );
document.write( "Hope you understand this!!
\n" ); document.write( "
\n" );