SOLUTION: Travel Distance: 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 a
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Question 401187: Travel Distance: 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?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the slower bus
Let = the distance the slower bus travels
= the speed of the faster bus
= distance the faster bus travels
hrs = time for both buses
-------------------------------------
slower bus:
(1)
faster bus:
(2)
From (1):
(1)
Substitute (1) into (2):
(2)
(2)
(2)
The slower bus went 180 mi and the faster bus went 195 mi
check answer:
(1)
(1)
(2)
(2)
(2)
(2)
OK
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