SOLUTION: A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back
took 70 hours. What is the speed of the boat in still water? What is the speed of t
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Question 442300: A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back
took 70 hours. What is the speed of the boat in still water? What is the speed of the current?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
against current x- 70.00 hours
with current x+ 10.00 hours
Distance = same=210
Boat speed =x
current speed =y
t=d/r
210/(x-y)=70.00
70(x-y)=210.00
70x-70y =210 ....................1
210/(x+y)=10.00
10.00(x +y)=210
10.00x+10.00y=210 ...............2
Multiply (1) by 1.00
Multiply (2) by 7.00
we get
70x-70y=210
70x+70y=1470
140x=1680
/140
x =12 mph Boat speed
plug value of x in (1)
70x-70y=210
840-70y=210
-70y=210-840
-70y=-630
y=9 mph current speed
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