SOLUTION: A motorboat travels
306km
in
6
hours going upstream. It travels
414km
going downstream in the same amount of time. What is the rate of the boat in still water and what
Algebra.Com
Question 1010601: A motorboat travels
306km
in
6
hours going upstream. It travels
414km
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 306km in 6 hours going upstream.
It travels 414 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?
-----------
Upstream DATA:
distance = 306 km ; time = 6 hrs ; rate = d/t = 306/6 = 51 km/hr
-------------
Downstream DATA:
distance = 414 km ; time = 6 hrs ; rate = d/t = 414/6 = 69 km/hr
------------
Equation:
b - c = 51 km/hr
b + c = 69 km/hr
------------------
Add to solve for "b"::
2b = 120
boat speed = 60 km/hr
------------------
Solve for "c"::
b + c = 69
60 + c = 69
current speed = 9 km/hr
-------
Cheers,
Stan H.
------
RELATED QUESTIONS
A motorboat travels 414km in 6 hours going upstream and 856km in 8 hours going... (answered by stanbon)
A motorboat travels 300 mi in 6 hours going upstream. It travels 456 mi going downstream... (answered by josgarithmetic)
A motorboat travels 300 mi in 6 hours going upstream. It travels 456 mi going downstream... (answered by mananth)
A motorboat travels 156 kilometers in 6 hours going upstream. It travels 252 kilometers... (answered by greenestamps,josgarithmetic)
A motorboat travels 198 km in 6 hours going upstream. It ravels 294 km going downstream... (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)