SOLUTION: the current of a river is 3 miles per hour . the speed of a motor boat going downstream is 1 2/3 times as fast as going upstream. it takes the motor boat a total of 2 hours 40 mi

Question 291595: the current of a river is 3 miles per hour . the speed of a motor boat going downstream is 1 2/3 times as fast as going upstream. it takes the motor boat a total of 2 hours 40 minutes to make a round trip between A and B; A and B are positions in the river . find the distance between A and B in miles
A 17 2/3 b 15 c 13 3/4 d 12 e 10 2/5

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
c=3
x+y=1 2/3
(b+c)*x=(b-c)*y
(b+c)=5/3*(b-c)
b = 12, c = 3, x = 1, y = 5/3
boat 12
downstream 15
upstream 9
5/3=15/9
15*1=15 miles from a to b
check
9*5/3=15
ok
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