Question 328336
Let {{{s}}} = speed of southbound plane in mi/hr
{{{s + 100}}} = speed of northbound plane in mi/hr
The are separating at the rate of
{{{s + s + 100 = 2s + 100}}}
After 5 hrs
{{{2000 = (2s + 100)*5}}}
{{{2000 = 10s + 500}}}
{{{10s = 2000 - 500}}}
{{{10s = 1500}}}
{{{s = 150}}}
{{{s + 100 = 250}}}
The speeds of the planes are:
southbound: 150 mi/hr
northbound: 250 mi/hr