SOLUTION: A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the current?
Algebra.Com
Question 553486: A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. What is the rate of the current?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the boat in still water
Let = the rate of the current
= the speed of the boat going downstream
= the speed of the boat going upstream
------------
given:
Going downstream:
(1)
Going upstream:
(2)
--------------------
(1)
(2)
--------------------
(1)
(2)
Add the equations
and
(1)
(1)
(1)
The speed of the current is 5 mi/hr
RELATED QUESTIONS
A boat travels 180 miles in 5 hours downstream and makes the return trip in 6 hours. what (answered by derangoj)
ken makes a 4-mile motorboat trip downstream in 20 minutes ( 1/3 hr). The return trip... (answered by Alan3354)
A motorboat travels upstream in five hours and makes the return trip downstream in three... (answered by dabanfield)
a canoeist makes a 24-mile trip, traveling with the current, in two hours. traveling... (answered by jorel1380)
A boat makes a trip downstream in 3 hours. it makes the upstream trip in the same current (answered by macston)
A motorboat takes 4 hours to travel 192 km going upstream. The return trip takes 3 hours (answered by Alan3354)
A motor boat takes 5 hours to travel 200km going upstream. The return trip takes 4 hours... (answered by Boreal,josgarithmetic)
A motor boat takes 4 hours to travel 352 km going upstream. The return trip takes 2 hours (answered by dewasmaharaja,nyc_function)
A boat takes 3 hours to travel 108 km upstream the return trip downstream takes 2 hours.... (answered by TimothyLamb)