SOLUTION: two buses parked at central station in Kansas city begin traveling at 11:00am: one bus travels east at the rate that is 12 miles per hour faster than the other bus, which travels w

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Question 1130749: two buses parked at central station in Kansas city begin traveling at 11:00am: one bus travels east at the rate that is 12 miles per hour faster than the other bus, which travels west. At 4:18pm the buses are 519.4 miles apart. How fast was each vehicle travelling?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
between 11 and 4:18 is 5.3 hours
In that time, the distance between them is 519.4 miles
they are going apart at the combined speed of 98 mph
one is x, the other x+12
so their sum=98
2x+12=98
2x=86
x=43 mph one bus
x+12=55 mph the other

Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
speeds
r, bus going west
r+12, but going east

Speed at which they move way from each other
2r+12

Time of travel, 5 hours plus 3/10 of an hour

%282r%2B12%29%2A%285.3%29=519.4
-
2r%2B12=519.4%2F5.3
2r=519.4%2F5.3-12
r=519.4%2F%282%2A5.3%29-6
highlight_green%28r=519.4%2F10.6-6%29

system%28highlight%28r=43%29%2Chighlight%28r%2B12=55%29%29
Westbound bus, 43 mph
Eastbound bus, 55 mph