SOLUTION: A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 8 mph relative to the water. The river flows downstream at a r
Algebra ->
Customizable Word Problem Solvers
-> Finance
-> SOLUTION: A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 8 mph relative to the water. The river flows downstream at a r
Log On
Question 1064815: A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 8 mph relative to the water. The river flows downstream at a rate of 1 mph. If the trip upstream takes 2 hours longer than the trip downstream, how far is it from point A to point B? Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 8 mph
relative to the water. The river flows downstream at a rate of 1 mph. If the trip upstream takes 2 hours longer than the trip
downstream, how far is it from point A to point B?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let D be the distance between the points A and B.
The barge speed downstream is 9+1 = 10 mph relative to the bank of the river.
The barge speed upstream is 9-1 = 8 mph relative to the bank of the river.
Time moving downstream is hours.
Time moving upstream is hours.
The time difference equation is
= 2.
It is your equation to find D.
To solve it, multiply both sides by 40. You will get
5D - 4D = 80 ----> D = 80.
Answer. The distance under the question is 80 miles.
