SOLUTION: the smiths are moving across the country mr smith leaves 3 hours before mrs smith. if he averages 65 and she averages 90 mph how long will it take mrs smith to overtake mr smith

Question 716813: the smiths are moving across the country mr smith leaves 3 hours before mrs smith. if he averages 65 and she averages 90 mph how long will it take mrs smith to overtake mr smith
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
He has a head start of

mi
start a stopwatch when the wife leaves
Let = time on stopwatch when they meet
Let = distance the wife has to travel
until she overtakes him
His equation:
(1)
Her equation:
(2)
--------------
Substitute (2) into (1)
(1)
(1)
(1)
hrs = min
She will overtake him in 7 hrs 48 min
check:
(2)
(2) mi
and
(1)
(1)
(1) mi
OK

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