document.write( "Question 1169835: Hi\r
\n" ); document.write( "\n" ); document.write( "2 robots Jupiter and Mars competed in a race. The speed of Jupiter was 20cm/sec faster than Mars. When Jupiter crossed the finish line in 12 sec Mars only completed 2/3 of the race. \r
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Algebra.Com's Answer #794679 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x be the speed of the robot Mars, in cm/sec.\r\n" );
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document.write( "Then the speed of the robot Jupiter is (x+20) cm/sec.\r\n" );
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document.write( "The distance robot Jupiter traveled in 12 seconds is  12*(x+20)  cm.\r\n" );
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document.write( "The distance robot Mars    traveled in 12 seconds is  12*x  cm.\r\n" );
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document.write( "The condition says that Mars' distance is    of that of Jupiter\r\n" );
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document.write( "    12x = .\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    12x = 8*(x+20)\r\n" );
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document.write( "    12x = 8x + 160\r\n" );
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document.write( "    12x - 8x = 160\r\n" );
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document.write( "       4x    = 160\r\n" );
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document.write( "        x = 160/4 = 40 cm/sec.\r\n" );
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document.write( "Thus the speed of the robot Mars is  40 cm/sec.\r\n" );
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document.write( "Hence, the speed of the robot Jupiter is  40+20 = 60 cm/sec.\r\n" );
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document.write( "Jupiter finished in 12 seconds - - - hence, the distance of the race was 60*12 = 720 cm = 7 m and 20 cm.    ANSWER\r\n" );
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