document.write( "Question 1102263: A tiger and a lion start at exactly the same place on the same road and run in the same direction. if the tiger runs 30 mph and the lion runs at only 2 mph but starts 16 hours before the tiger, how many hours will the tiger have to run before it catches the lion? \n" ); document.write( "

Algebra.Com's Answer #716924 by ikleyn(52818) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "1 - Physics style solution\r
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document.write( "Time to catch =  =  hours =  hours =  hours.\r\n" );
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document.write( "Explanations:\r\n" );
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document.write( "2*16 = 32 miles in the numerator is the \"head start distance\".\r\n" );
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document.write( "(30-2) = 28 miles per hour in the denominator is their relative speed,\r\n" );
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document.write( "         which is EXACTLY THE RATE of decreasing the distance between them.\r\n" );
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\n" ); document.write( "\n" ); document.write( "2 - Algebra style solution\r
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document.write( "30*t = 2*(t+16).        <<<<----====  This equation says that they cover the same distance, but for different time.\r\n" );
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document.write( "Solve for t, which is time counted after the tiger started.\r\n" );
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document.write( "After completing this simple solution you will get the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
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\n" ); document.write( "\n" ); document.write( "Everything is/was explained there.\r
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\n" ); document.write( "\n" ); document.write( "You will find TONS of similar solved problems there.\r
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\n" ); document.write( "@josgarithmetic took very inadequate approach to solve the problem.\r
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\n" ); document.write( "\n" ); document.write( "NEVER USE SUCH approach in problems like this.\r
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