SOLUTION: A sight seeing boat travels an average speed of 18 mph in the calm water of a large lake. The same boat is used for sight-seeing in a near by river. In the river, the boat travel
Algebra.Com
Question 400689: A sight seeing boat travels an average speed of 18 mph in the calm water of a large lake. The same boat is used for sight-seeing in a near by river. In the river, the boat travels 2.6 downstream (with the current) in the same amount of time it takes to travel 2.1 miles upstream (against the current). Write an equation that can be used to solve the problem and find the current of the river.
We have tried t=d/s to get the time 2.6/18+r = 2.1/18-r then we get 46.80 - 2.6r = 37.80 + 2.1r I get 18 as the current worked out but if I put 18 back in I will get a 0 denomintor. This can't be right?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A sight seeing boat travels an average speed of 18 mph in the calm water of a large lake. The same boat is used for sight-seeing in a near by river. In the river, the boat travels 2.6 downstream (with the current) in the same amount of time it takes to travel 2.1 miles upstream (against the current). Write an equation that can be used to solve the problem and find the current of the river.
-----------
c = current speed
t = d/r
t = 2.1/(18 - c) = 2.6/(18 + c)
2.1/(18 - c) = 2.6/(18 + c)
2.1(18+c) = 2.6(18-c)
37.8 + 2.1c = 46.8 - 2.6c
4.7c = 9
c = 90/47 mph
------------------------------
We have tried t=d/s to get the time 2.6/18+r = 2.1/18-r then we get
46.80 - 2.6r = 37.80 + 2.1r
I get 18 as the current
*******************************
I don't know how you got 18 as the current.
RELATED QUESTIONS
Question 400689: A sight seeing boat travels an average speed of 22 mph in the calm water (answered by josgarithmetic)
A sight-seeing boat travels at an average speed of 20 miles per hour in the clam water of (answered by ankor@dixie-net.com)
Please help me with this problem.
Write an equation that can be used to solve the... (answered by josgarithmetic,macston,MathTherapy)
A boat on a river travels the same distance in 1/2 hour downstream as it can go upstream... (answered by ankor@dixie-net.com)
The speed of a stream is 5 mph. If a boat travels 86 mi downstream in the same time that... (answered by Cromlix)
A boat travels at an average speed 15km/h in still water. The boat travels 12km... (answered by ewatrrr)
The speed of a stream is 2 mph. A boat travels 8 miles upstream in the same time it takes (answered by tommyt3rd)
Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph... (answered by josmiceli)
A boat travels at 16 mph in still water. It takes the same amount of time for the boat to (answered by josgarithmetic,Theo,MathTherapy,ikleyn)