SOLUTION: A high school student in Seattle, Washington, attends the University of Central Florida. On the way to UCF he took a southern route. After graduation he returned to Seattle via a n

Question 259011: A high school student in Seattle, Washington, attends the University of Central Florida. On the way to UCF he took a southern route. After graduation he returned to Seattle via a northern trip. On both trips he had the same average speed. If the southern trek took 48 hours, the northern trek took 53 hours, the northern trek was 285 miles longer, how long was each trip?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A high school student in Seattle, Washington, attends the University of Central Florida. On the way to UCF he took a southern route.
After graduation he returned to Seattle via a northern trip.
On both trips he had the same average speed.
If the southern trek took 48 hours, the northern trek took 53 hours, the northern trek was 285 miles longer, how long was each trip?
:
Let d = distance of the southern trip
then
(d+285) = distance of the northern trip
:
Write a speed equation, speed = dist/time, (speed same on both trips)
:
=
cross multiply
53d = 48(d+285)
:
53d = 48d + 13680
:
53d - 48d = 13680
d =
d = 2736 mi is the southern route
and
2736 + 285 = 3021 mi is the northern route
RELATED QUESTIONS
A high school student in Seattle, Washington, attends the University of Central Florida.... (answered by graphmatics)

A high school student in Seattle, Washington, attends the University of Central Florida. (answered by ankor@dixie-net.com)

A high school student in Seattle, Washington, attends the University of Central Florida. (answered by macston)

30% of students at a university are freshmen. 20% went to high school in california. 7%... (answered by Theo)

A university of Florida student earns $15 per day delivering advertising brochures... (answered by macston)

1)The senior classes at High School A and High School B planned separate trips to the... (answered by ikleyn)

Which of the following situations gives an example of dependent events: A coin is... (answered by Fombitz)

Many students entering unversity take a math course, 1J03. In this course, 9% of the... (answered by edjones)

Many students entering unversity take a math course, 1J03. In this course, 11% of the... (answered by ewatrrr)