SOLUTION: A motorboat travels 268 km in 4 hours going upstream.It travels 420 km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate
Algebra.Com
Question 474664: A motorboat travels 268 km in 4 hours going upstream.It travels 420 km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A motorboat travels 268 km in 4 hours going upstream.
Rate = distance/time = 268/4 = 67 km/hr
----------------------
It travels 420 km going downstream in the same amount of time.
Rate = distance/time = 420/4 = 104 km/hr
---------
What is the rate of the boat in still water and what is the rate of the current?
Equations:
Upstream: b-c = 67 km/hr
Downstrm: b+c = 104 km/hr
--------------------------------
Add and solve for "b":
2b = 171 km/hr
b = 85.5 km/hr (speed of the boat in still water)
-----
Solve for "c":
b+c = 104
85.5 + c = 104
c = 18.5 km/hr (speed of the current)
===========================
Cheers,
Stan H.
=============
RELATED QUESTIONS
A motorboat travels 130 km in 5 hours going upstream. It travels 270 km going downstream... (answered by josgarithmetic,MathTherapy)
A motorboat travels 198 km in 6 hours going upstream. It ravels 294 km going downstream... (answered by josgarithmetic)
A motorboat travels 145 km in 5 hours going upstream. It travels 205 going downstream in (answered by josmiceli)
A motorboat travels 220km in 4 hours going upstream. It travels
284km going downstream... (answered by josgarithmetic,MathTherapy)
A motorboat travels 152 kilometers in 4 hours going upstream. It travels 232 kilometers... (answered by josgarithmetic)
A motorboat travels 385 mi in 7 hours going upstream. It travels 623 mi going downstream... (answered by oberobic)
A motorboat travels in hours going upstream. It travels going downstream in the same... (answered by checkley79)
A motorboat travels in hours going upstream. It travels going downstream in the same... (answered by Alan3354)
A motorboat travels 114 miles in 2 hours going upstream. It travels 170 miles going... (answered by scott8148)