Question 659306
The 1st truck has a head start of
{{{ d[1] = 69*2 }}}
{{{ d[1] = 138 }}} mi
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Now start a stopwatch when the 2nd truck leaves
Both trucks will travel for the same amount
of time until they meet
Let {{{ d }}} = distance 2nd truck travels
Let {{{ t }}} = time on stopwatch
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1st truck's equation:
{{{ d - 138 = 69t }}}
2nd truck's equation:
{{{ d = 82t }}}
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{{{ d = 69t + 138 }}}
By substitution:
{{{ 82t = 69t + 138 }}}
{{{ 13t = 138 }}}
{{{ t = 10.6154 }}} hrs
{{{ .6154*60 = 36.9231 }}}
{{{ .9231*60 = 55.4 }}}
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10 hrs 36 min and 55 sec is the time elapsed
after 10 AM + 2 hrs or 12 PM
They will meet at 10:36:55 PM