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
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