document.write( "Question 1163722: Bob and Moe set off at the same time on a 30 km walk for charity. Bob walks 1.4 km/h faster than Moe, but stops for 20 min on route. Even with the delay, Bob finishes 2 hours ahead of Moe. How fast in km/h was Bob walking, and how long in hours did it take for Moe to finish the walk? \n" ); document.write( "

Algebra.Com's Answer #787896 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Bob and Moe set off at the same time on a 30 km walk for charity. Bob walks 1.4 km/h faster than Moe, but stops for 20 min on route.
\n" ); document.write( "Even with the delay, Bob finishes 2 hours ahead of Moe.
\n" ); document.write( "How fast in km/h was Bob walking, and how long in hours did it take for Moe to finish the walk?
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document.write( "Let x be the Bob's rate, in km/h (the value under the problem's question).\r\n" );
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document.write( "Then Moe's rate is (x-1.4) km/h, according to the condition.\r\n" );
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document.write( "Bob's time walking is    hours  (with no counting the time for stop).\r\n" );
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document.write( "Moe's time walking is    hours.\r\n" );
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document.write( "The time equation for their trips is\r\n" );
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document.write( "    Moe's time - Bob's time = 2 hours,\r\n" );
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document.write( "Or in the Math form,\r\n" );
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document.write( "     - (  ) = 2.\r\n" );
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document.write( "Here  represets Bob's 20 minute stop.\r\n" );
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document.write( "So, your final setup \"time equation\" is\r\n" );
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document.write( "     -  = .\r\n" );
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document.write( " in the right side is  2 + .\r\n" );
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document.write( "I will leave the solution of this equation to you, because the rest is just a technique.\r\n" );
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document.write( "Your next steps are \r\n" );
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document.write( "    1)  multiply both sides by 3x*(x-1.4);  \r\n" );
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document.write( "    2)  then reduce it to the standard quadratic equation\r\n" );
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document.write( "    3)  then solve it via the quadratic formula or factoring (whichever methods works and whichever you prefer).\r\n" );
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\n" ); document.write( "\n" ); document.write( "At this point, I complete my instructions.\r
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\n" ); document.write( "\n" ); document.write( "The rest is on you.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems amd/or to learn more about time equation, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Had a car move faster it would arrive sooner\r
\n" ); document.write( "\n" ); document.write( "    - How far do you live from school? \r
\n" ); document.write( "\n" ); document.write( "    - Earthquake waves \r
\n" ); document.write( "\n" ); document.write( "    - Time equation: HOW TO use, HOW TO write and HOW TO solve it \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "If you will have difficulties or questions, do not hesitate ask me.\r
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\n" ); document.write( "\n" ); document.write( "If you do, then please refer to the ID number of this problem, which is 1163722.\r
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\n" ); document.write( "\n" ); document.write( "The ID number is the first number, which you see in your page in the UPPER LEFT corner.\r
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\n" ); document.write( "\n" ); document.write( "If you will post to me without referring to this ID number, I will not know to whom to answer.\r
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\n" ); document.write( "\n" ); document.write( "It is how this forum works.\r
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\n" ); document.write( "\n" ); document.write( "So, mentioning this ID is NECESSARY, if you want to have two-way communication with me.\r
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\n" ); document.write( "\n" ); document.write( "Good luck (!)\r
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