Question 1169835
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Let x be the speed of the robot Mars, in cm/sec.

Then the speed of the robot Jupiter is (x+20) cm/sec.



The distance robot Jupiter traveled in 12 seconds is  12*(x+20)  cm.

The distance robot Mars    traveled in 12 seconds is  12*x  cm.


The condition says that Mars' distance is  {{{2/3}}}  of that of Jupiter

    12x = {{{(2/3)*12*(x+20)}}}.


Simplify and solve


    12x = 8*(x+20)

    12x = 8x + 160

    12x - 8x = 160

       4x    = 160

        x = 160/4 = 40 cm/sec.


Thus the speed of the robot Mars is  40 cm/sec.

Hence, the speed of the robot Jupiter is  40+20 = 60 cm/sec.


Jupiter finished in 12 seconds - - - hence, the distance of the race was 60*12 = 720 cm = 7 m and 20 cm.    <U>ANSWER</U>
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Solved.