SOLUTION: Travel by boat. Alonzo can travel from his camp downstream to the mouth of the river in 30 minutes. If it takes him 45 minutes to come back, then how long would it take him to go
Algebra.Com
Question 188696This question is from textbook Elementary and Intermediate Algebra
: Travel by boat. Alonzo can travel from his camp downstream to the mouth of the river in 30 minutes. If it takes him 45 minutes to come back, then how long would it take him to go that same distance in the lake with no current?
This question is from textbook Elementary and Intermediate Algebra
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Travel by boat. Alonzo can travel from his camp downstream to the mouth of the river in 30 minutes. If it takes him 45 minutes to come back, then how long would it take him to go that same distance in the lake with no current?
----------------------------
Downstream DATA:
Time = (1/2) hr. ; distance = x miles ; rate = x/(1/2) = 2x mph
---------------------------------------------------------
Upstream DATA:
Time = (3/4) hr. ; distance = x miles : rate = x/(3/4) = (4x/3) mph
----------------------------------------------------------
Equations:
b + c = 2x
b - c = (4x/3)
------------------
Add to get:
2b = (10x/3)
b = (5x/3) speed of the boat in still water
-------------------
Substitute into b+c = 2x to solve for "c":
(5x/3) + c = 2x
c = x/3 (speed of the current)
========================================
how long would it take him to go that same distance in the lake with no current?
Ans: d/b = x/(5x/3) = 3/5 hr = 36 minutes
===============================================
Cheers,
Stan H.
RELATED QUESTIONS
Traveling by boat. Alonzo can travel from his camp downstream to the mouth of the river... (answered by mananth)
Fernando’s motorboat can travel 30 mi/hr in still water.
If the boat can travel 9 miles (answered by richwmiller)
A boat can travel 16 mi/hr in still water. If the boat can travel 5 mi downstream in the... (answered by solver91311)
A ferry boat takes people up and down the river 40 miles between two towns. The boat... (answered by ankor@dixie-net.com)
A boat can travel 12 miles upstream in the same amount of time it takes to travel 18... (answered by mananth,stanbon)
A boat can travel on a river 7 miles upstream in the same time it takes to travel 19... (answered by ankor@dixie-net.com)
A boat can travel at a speed of 15 kph in still water. The boat travels 40 km downstream... (answered by mananth)
What is the answer to this question and what is the formula to get the answer.
A boat (answered by stanbon)
the speed of a river is 4mph. if a boat travels 30 miles downstream in the same time it... (answered by TimothyLamb)