document.write( "Question 1063893: Dahlia walks from her house at 2 km/h. After school, she jogs back home at 6 km/h and saves 15 min. How far does Dahlia live from school? \n" ); document.write( "

Algebra.Com's Answer #678979 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Dahlia walks from her house at 2 km/h. After school, she jogs back home at 6 km/h and saves 15 min. How far does Dahlia live from school?
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document.write( "Let D be the distance from the house to the school, in kilometers.\r\n" );
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document.write( "You understand, even without my explanations, that the returning way has the same length. \r\n" );
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document.write( "OK, very good !\r\n" );
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document.write( "The time Dahlia spent walking from her house to the school, is  hours.\r\n" );
document.write( "    ( I simply divided the distance by the speed to get the time. Did I do it correct ? Do you agree ?)\r\n" );
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document.write( "The time Dahlia spent walking the school to his house, is  hours.\r\n" );
document.write( "    ( Again, I simply divided the distance by the speed to get the time. Did I do it correct ?  Do you agree ?)\r\n" );
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document.write( "Now, she jogs back in 15 minutes sooner, as the condition says. Agree ?\r\n" );
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document.write( "It means that \r\n" );
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document.write( " = .     (1)\r\n" );
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document.write( "What is  in the right side ?\r\n" );
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document.write( "- But of course, it is 15 minutes, that are  of an hour.\r\n" );
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document.write( "Great !!  Now you have this equation for \"D\", which serves for you to solve it and find \"D\".\r\n" );
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document.write( "How to solve it ?  - Very good question !\r\n" );
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document.write( "Simply multiply both sides of (1) by the common denominator, which is 12. You will get\r\n" );
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document.write( "6D - 2D = 3,   or\r\n" );
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document.write( "4D = 3.\r\n" );
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document.write( "Hence, D =  kilometers.\r\n" );
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document.write( "Thus you found the distance and answered the question.\r\n" );
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document.write( "Answer. The distance from the house to the school is  kilometers, or 750 meters.\r\n" );
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document.write( "Now, let us check the solution.\r\n" );
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document.write( "The time from the house to the school =  =  hours.\r\n" );
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document.write( "The time back, from the school to the house (jogging !) is  =  of an hours.\r\n" );
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document.write( "The difference is  =  =  of an hour.\r\n" );
document.write( "Exactly as the condition states.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Now take my congratulations !! You successfully solved the problem.\r
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\n" ); document.write( "\n" ); document.write( "In this site, there are a lot of lessons on Travel an Distance: \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems \r
\n" ); document.write( "\n" ); document.write( "    - More problems on upstream and downstream round trips \r
\n" ); document.write( "\n" ); document.write( "    - Wind and Current problems solvable by quadratic equations \r
\n" ); document.write( "\n" ); document.write( "    - Using fractions to solve Travel problems \r
\n" ); document.write( "\n" ); document.write( "    - Unpowered raft floating downstream along a river\r
\n" ); document.write( "\n" ); document.write( "    - Had a car move faster it would arrive quicker\r
\n" ); document.write( "\n" ); document.write( "    - How far do you live from school? \r
\n" ); document.write( "\n" ); document.write( "    - One unusual Travel problem \r
\n" ); document.write( "\n" ); document.write( "    - Another unusual Travel problem (Arnold's problem on two walking old women) \r
\n" ); document.write( "\n" ); document.write( "    - Clock problems \r
\n" ); document.write( "\n" ); document.write( "    - Problems on bodies moving on a circle \r
\n" ); document.write( "\n" ); document.write( "    - Calculating an average speed: a train going from A to B and back \r
\n" ); document.write( "\n" ); document.write( "    - One more problem on calculating an average speed \r
\n" ); document.write( "\n" ); document.write( "    - Travel problem on a messenger moving back and forth along the marching army's column \r
\n" ); document.write( "\n" ); document.write( "    - A person walking along the street and buses traveling in the same and opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - A train passing a telegraph post and passing a bridge \r
\n" ); document.write( "\n" ); document.write( "    - A train passing a platform \r
\n" ); document.write( "\n" ); document.write( "    - A train passing through a tunnel \r
\n" ); document.write( "\n" ); document.write( "    - A light-rail train passing a walking person \r
\n" ); document.write( "\n" ); document.write( "    - A train passing another train \r
\n" ); document.write( "\n" ); document.write( "    - A man crossing a bridge and a train coming from behind \r
\n" ); document.write( "\n" ); document.write( "    - Selected Travel and Distance problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on the boat floating Upstream and Downstream \r
\n" ); document.write( "\n" ); document.write( "    - Selected problems from the archive on a plane flying with and against the wind \r
\n" ); document.write( "\n" ); document.write( "    - The distance covered by a free falling body during last second of the fall \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Travel and Distance.\r
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\n" ); document.write( "\n" ); document.write( "Too much ?? Then choose any of them which seems to be most interesting to you.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning !!\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the section \"Word problems\", the topic \"Travel and Distance problems\".\r
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