SOLUTION: Two buses leave a station at the same time and travel in the opposite directions. One bus travels 9 mi/h faster than the other. Of the two buses are 274 mi apartafter 2 hours, what

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Question 966331: Two buses leave a station at the same time and travel in the opposite directions. One bus travels 9 mi/h faster than the other. Of the two buses are 274 mi apartafter 2 hours, what is the rate of each bus
Answer by lwsshak3(11628) About Me  (Show Source):
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Two buses leave a station at the same time and travel in the opposite directions. One bus travels 9 mi/h faster than the other. Of the two buses are 274 mi apartafter 2 hours, what is the rate of each bus
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let x=rate of slower bus
x+9=rate of faster bus
x+(x+9)=2x+9=rate at which the two busses are moving apart
travel time*rate=distance
2(2x+9)=274
4x+18=274
4x=256
x=64
x+9=73
rate of slower bus=64 mph
rate of faster bus=73 mph