SOLUTION: On a 255 mile trip gary traveled at an average of 70 mph, got a speeding ticket, and then traveled at 60 mph for the remainder of the trip. If the entire trip took 4.5 hours and

Question 178509: On a 255 mile trip gary traveled at an average of 70 mph, got a speeding ticket, and
then traveled at 60 mph for the remainder of the trip. If the entire trip took 4.5 hours and the speeding ticket stop took 30 minutes, how long did gary speed before he got stopped?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
On a 255 mile trip Gary traveled at an average of 70 mph, got a speeding ticket,
and then traveled at 60 mph for the remainder of the trip. If the entire trip
took 4.5 hours and the speeding ticket stop took 30 minutes, how long did Gary
speed before he got stopped?
:
Let t = time driven at 70 mph
The total driving time was 4 hrs, therefore:
(4-t) = time at 60 mph
:
Write a distance equation; dist = speed * time
;
Dist at 70 + dist at 60 = 255
:
70t + 60(4-t) = 255
:
70t + 240 - 60t = 255
:
70t - 60t = 255 - 240
:
10t = 15
t =
t = 1.5 hrs at 70 mph
:
:
check solution (time at 60 mph: 4 - 1.5 = 2.5hrs)
1.5(70) + 2.5(60) =
105 + 150 = 255 mi confirms our solution
RELATED QUESTIONS
On a 255-mile trip, Gary traveled at an average speed of 70 miles per hour, got a... (answered by lwsshak3)

On a 255-mile trip, Gary traveled at an avg. apeed of 70mph, got a speeding ticket, and... (answered by scott8148)

A bus traveled at an average rate of 50 mph and then reduced its rate to 40 mph for the... (answered by ankor@dixie-net.com)

On a 130 mile trip, a car traveled at an average speed of 55 mph and then reduced its... (answered by ankor@dixie-net.com)

On a 130 mile trip, a car traveled at an average speed of 55 mph and then reduced its... (answered by checkley71)

A horse traveled 9 miles at an average speed of 15 mph. On the return trip it traveled 3... (answered by Alan3354)

I went on a trip that was a total of 300 miles. The first 100 miles I traveled at 60 mph. (answered by josgarithmetic)

a car traveled 600 miles at 60 mph and 40mph on the return trip. What was the average... (answered by checkley77)

a car traveled at an average rate of 40 mph and then reduced its average rate to 30mph... (answered by checkley75,scott8148)