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 6 mph relative to the water. The river flows downstream at a
Question 1065125: . A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 6 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(52887) (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 6 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?
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Let D be the distance between the points A and B.
The barge speed downstream is 6+1 = 7 mph relative to the bank of the river.
The barge speed upstream is 6-1 = 5 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 35. You will get
7D - 5D = 70 ----> 2D = 70 ---> D = 35.
Answer. The distance under the question is 35 miles.
