SOLUTION: A motorboat takes 3 hrs to travel 144 km going upstream the return trip takes 2 hrs going downstream what is the rate of the boat in still water and
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Question 445757: A motorboat takes 3 hrs to travel 144 km going upstream the return trip takes 2 hrs going downstream what is the rate of the boat in still water and what is the rate of the current.
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate of the current
Let = the speed of the boat in still water
given:
time going upstream: hrs
time going downstream: hrs
The equation going upstream:
(1)
The equation going downstream:
(2)
----------------------
There are 2 equations and 2 unknowns, so
it should be solvable
(1)
(1)
and
(2)
(2)
Multiply both sides of (1) by
and both sides of (2) by and
subtract (1) from (2)
(2)
(1)
km/hr
and
(2)
(2)
(2)
(2)
km/hr
12 km/hr is the rate of the current
60 km/hr is the speed of the boat in still water
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
144/3 = 48 km/hr
144/2 = 72 km/hr
The boat's speed is the average (48+72)/2 = 60 km/hr
The current is the difference 72 - 60 = 12 km/hr
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