The Cunninghams are moving across the country. Mr. Cunningham leaves 4 hours before Mrs. Cunningham. If he averages 35mph and she averages 70mph, how long will it take Mrs. Cunningham to overtake Mr. Cunningham?
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Remember, distance traveled is the rate times the time. (d = rt) Mrs. Cunningham will overtake Mr. Cunningham when they have traveled the same distance.
Mrs. Cunningham's equation will be: d = 60t
Since he was traveling 4.5 hours longer, Mr. Cunningham's equation will be: d = 50(t + 4.5)
If the travel the same distance, the equations can be set equal to each other:
60t = 50(t + 4.5)
60t = 50t + 225
10t = 225
t = 22.5
Step-by-step explanation:
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