SOLUTION: At noon, two Mississippi stream boats are 126 miles apart. At 6 p.m., they pass each other going in opposite directions. If one stream boat travels 9 miles per hour faster than the

Question 541108: At noon, two Mississippi stream boats are 126 miles apart. At 6 p.m., they pass each other going in opposite directions. If one stream boat travels 9 miles per hour faster than the other, find the speed of both boats.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The boats are converging at the sum of their speeds.
Boat 1 is going at speed = x
Boat 2 is going at speed = x+9
In 6 hrs (noon to 6 p.m.) they travel 126 miles.
d = r*t
126 = r * 6
r = 126/6 = 21
.
Their combined speeds are x+x+9 = 2x+9
.
2x+9 = 21
2x = 12
x = 6 mph = speed of the slower boat
x+9 = 15 mph = speed of the faster boat
.
To check, how far does each travel in 6 hr?
6*6 = 36
6*15 = 90
36+90 = 126
.
Done.
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