Question 850286
__________________speed________time__________distance
EarlySlow_________20___________{{{k+t}}}___________10
LateFast__________50____________t____________10


The late, fast motorcycle traveled t hours and began after the early motorcycle already traveled for just k hours.  Both t and k start as unknown variables.


Travel uniform rates follow RT=D for rate time distance.


SYSTEM TO SOLVE:
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{{{20(k+t)=10}}}
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{{{50t=10}}}
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The system can be simplified before solving:
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{{{2(k+t)=1}}}
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{{{5t=1}}}
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You can finish the solution.
(BIG HINT:  {{{t=1/5}}}, substitutable into the simplified 'EarlySlow' equation.)