SOLUTION: Two buses leave the same city at the same time moving in opposite directions. One travels at a rate of 5 miles per hour faster than the other. After 3 hours they are 375 miles apar

Question 268141: Two buses leave the same city at the same time moving in opposite directions. One travels at a rate of 5 miles per hour faster than the other. After 3 hours they are 375 miles apart. How far did each bus travel?

Thank you.... Your time and help if appreciated a lot!!
Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
speed of slower bus =
speed of faster bus =
They are moving apart at their combined speeds, which are:

Let = distance slower bus has gone in mi
Let = distance faster bus has gone in mi
mi
Since

mi

mi
The slower bus went 180 mi, the faster went 195 mi
check answer:

OK

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the rate of the slower bus. Then the rate of the faster bus must be .

Since the two buses are traveling in opposite directions, the total rate is the sum of the rates of the two vehicles, namely: , or

Since distance equals rate times time:

Solve for . The distance traveled by the slower bus is . The distance traveled by the faster bus is

John

RELATED QUESTIONS
Travel Distance: Two buses leave the same city at the same time moving in opposite... (answered by josmiceli)
two buses leave the same city at the same time moving in opposite directions. One travels (answered by drj,thinkingeye)
Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by josgarithmetic)
Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by Alan3354)
Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by rfer)
Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by mananth)
Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by josgarithmetic)
Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by ikleyn)
Two buses leave a station at the same time and travel in opposite directions. One bus... (answered by ikleyn)