The cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before mrs. Cunningham. If he averages 85mph and she averages 95mph, how long will it take mrs. Cunningham to overtake mr. Cunningham?
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Step-by-step explanation:
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 = 95t
Since he was traveling 3 hours longer, Mr. Cunningham's equation will be: d = 85(t + 3)
If the travel the same distance, the equations can be set equal to each other:
95t = 85(t + 3)
95t = 85t + 255
10t = 255
t = 25.5
It will take Mrs. Cunningham 25.5 hours to overtake her husband.
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