SOLUTION: Two buses leave a station at the same time and travel in opposite directions. One bus travels 15mi/h faster than the other. If the two buses are 405 mi apart after 3 hours, what

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Question 955895: Two buses leave a station at the same time and travel in opposite directions. One bus travels 15mi/h faster than the other. If the two buses are 405 mi
apart after 3 hours, what is the rate of each bus?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39630) (Show Source):
You can put this solution on YOUR website!
Two buses leave a station at the same time and travel in opposite directions. One bus travels k mi/h faster than the other. If the two buses are d mi
apart after t hours, what is the rate of each bus?

Basic Uniform Rates for Travel Rule, RT=D

Here the problem description is generalized using variables and the necessary equation may be identified and then formed.

___________________speed___________time____________distance
SLOWBUS_____________r_______________t______________rt
FASTBUS____________r+k______________t______________(r+k)t
total______________________________________________d

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
You can think of one bus as standing still and
the other moving at the sum of their speeds
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Let = the speed of the slower bus in mi/hr
= the speed of the faster bus in mi/hr
----------------

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The speed of the slower bus is 60 mi/hr
The speed of the faster bus is 75 mi/hr