SOLUTION: Roland made a trip of 450 miles in 8 hours. Before noon he averaged 60mph, and afternoon he averaged 50mph. At what time did he begin his trip and when did he end it?

Question 164514: Roland made a trip of 450 miles in 8 hours. Before noon he averaged 60mph, and afternoon he averaged 50mph. At what time did he begin his trip and when did he end it?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A be the number of hours he drove before noon.
Let B be the number of hours he drove after noon.
Total hours driven,
1.
Total distance driven (Rate x Time = Distance)
2.
Use eq. 1 to come up with A as a function of B.
1.

Substitute this expression into eq. 2 and solve for B.
2.

From eq. 1,

.
.
.
He started the trip at 7AM and ended the trip at 3PM.
RELATED QUESTIONS
An auto tourist made a trip of 275 miles in 8 hours. Before noon he averaged 40 mph, and... (answered by josmiceli)

a man made a trip of 275 miles in 8 hours. before noon, he averaged 40mph , and after... (answered by solver91311,checkley77)

Ronald made a trip of 450 miles in 8 hours. Before noon he averaged 60 miles per hour,... (answered by josmiceli)

A motorist averaged 670 miles in 12 hours. Before 4 pm, he averaged 60 mph and after 4 pm (answered by josmiceli)

A man made a motor trip of 220 mile in 5 hours. Part of the time he averaged 30 mph and... (answered by Paul)

Mark made a business trip of 236 miles.He averaged 58mphfor the first part of the trip... (answered by josgarithmetic,ikleyn,greenestamps)

Tom traveled 280 miles east of St. Louis. For most of the trip he averaged 60mph, but for (answered by richwmiller)

On the first part of a trip Bob averaged 60mph but on the second part of the trip, which... (answered by richwmiller)

Trais made a business trip of 234 miles. He averaged 54 mph for the first part of the... (answered by ankor@dixie-net.com)