SOLUTION: The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 35 mph and she averages 50 mph, how long will it take Mrs. Reed to overtake Mr.

Question 858226: The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 35 mph and she averages 50 mph, how long will it take Mrs. Reed to overtake Mr. Reed?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Mr. Reed drives 35*4.5 before Mrs. Reed begins. He has a headstart of 157.5 miles.
After the first hour she has driven, Mr:192.5; Mrs:50
Second hour: 227.5; 100
Third: 262.5, 150
Fourth: 297.5, 200
Fifth: 332.5, 250
Sixth: 367.5, 300
Seventh: 402.5, 350
Eight: 437.5, 400
Ninth: 472.5, 450
Tenth: 507.5, 500
(half an hour = 525, 525)
Eleventh: 542.5, 550
.
Mathematically,
157.5 + 35x = 50x
Subtract 35x from each side
157.5 = 15x
Divide each side by x
10.5 hours = x

RELATED QUESTIONS
The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If (answered by ikleyn)

The reeds are moving cross country. Mr reed leaves 3.5 hrs before mrs reed. If he... (answered by rfer)

The Reeds are moving across Texas. Mr. Reed leaves 3.5 hours before Mrs. Reed. If his... (answered by stanbon)

The Browns are moving across the country. Mr. Brown leaves 5 hours before Mrs. Brown.... (answered by jorel555)

The Smiths are moving across the country. Mr. Smith leaves 4 hours before Mrs. Smith.... (answered by josmiceli)

The Cummings are moving across the country. Mr. Cumming leaves 4 hours before Mrs.... (answered by josgarithmetic,MathTherapy)

The Browns are moving across the country. Mr. Brown leaves 4.5 hours before Mrs. Brown. (answered by josgarithmetic)

The Hopewells are moving across the country. Mr. Hopewell leaves 3.5 hours before Mrs.... (answered by josmiceli)

The Cunninghams are moving across the country. Mr. Cunningham leaves 3.5 hours before... (answered by josgarithmetic,ikleyn,MathTherapy)