SOLUTION: A boat is traveling in a river with a current that has a speed of 1.5km/h. In one hour the boat can travel twice the distance downstream as it can travel upstream. What's the boats
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Question 938631: A boat is traveling in a river with a current that has a speed of 1.5km/h. In one hour the boat can travel twice the distance downstream as it can travel upstream. What's the boats speed in still water?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A boat is traveling in a river with a current that has a speed of 1.5km/h. In one hour the boat can travel twice the distance downstream as it can travel upstream. What's the boats speed in still water?
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Downstream DATA:
time = 1 hr ; distance = 2x km ; rate = d/t = 2x km/hr
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Upstream DATA:
time = 1 hr ; distance = x km ; rate = x km/hr
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Equations:
Dowmstream:: b + 1.5 = 2x km/hr
Upstream:::: b - 1.5 = x km/hr
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Subtract and solve for "x"::
3 = x
x = 3
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solve for "b"::
b - 1.5 = 3
b = 4.5 km/hr (speed of the boat in still water)
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Cheers,
Stan H.
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