SOLUTION: A sight-seeing boat travels at an average speed of 20 miles per hour in the clam water of a large lake. The same boat is also used for sight-seeing in a nearby river. In the river,
Algebra.Com
Question 878114: A sight-seeing boat travels at an average speed of 20 miles per hour in the clam water of a large lake. The same boat is also used for sight-seeing in a nearby river. In the river, the boat travels 2.9 miles downstream (with the current) in the same amount of time it takes to travel 1.8 miles upstream (against the current). Find the current of the river.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A sight-seeing boat travels at an average speed of 20 miles per hour in the clam water of a large lake.
The same boat is also used for sight-seeing in a nearby river.
In the river, the boat travels 2.9 miles downstream (with the current) in the same amount of time it takes to travel 1.8 miles upstream (against the current).
Find the current of the river.
:
I'm not sure about the characteristic of "clam water", I guess it is water that is used in canned clams. Going to assume that it is not much different from ordinary water, 20 mph
:
let c = rate of the river current
Then
(20-c) = effective speed up-river
(20+c) = effective speed down-river
:
Write a time equation, time = dist/speed
downstr time = upstr time
=
cross multiply
1.8(20+c) = 2.9(20-c)
36 + 1.8c = 58 - 2.9c
1.8c + 2.9c = 58 - 36
4.7c = 22
c = 22/4.7
c = 4.68 mph is the rate of the current
:
:
Check this by finding times
1.8/15.32 = .1175 hrs
2.9/24.68 = .1175 hrs
RELATED QUESTIONS
Question 400689: A sight seeing boat travels an average speed of 22 mph in the calm water (answered by josgarithmetic)
Please help me with this problem.
Write an equation that can be used to solve the... (answered by josgarithmetic,macston,MathTherapy)
A sight seeing boat travels an average speed of 18 mph in the calm water of a large lake. (answered by Alan3354)
A boat travels 20 miles upstream in the same time that it would take to travel 30 miles... (answered by ptaylor)
The speed of a stream is 4 miles per hour. If a boat travels 46 miles downstream in the... (answered by richwmiller)
The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles... (answered by mananth)
The speed of a boat in still water is 4 miles per hour. If the boat travels 5 miles... (answered by mananth)
The speed of a boat in still water is 7 miles per hour. If the boat travels 6 miles... (answered by lwsshak3)
A stream is going 3 miles an hour. A boat travels upstream 12 miles and then returns to... (answered by hamsanash1981@gmail.com)