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 ra

Question 1065118: 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?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) (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?
:
6+1 = 7mph is the downstream rate
6-1 = 5mph is the upstream rate
:
let d = the one way distance, A to B and B to A
Write a time equation; time = dist/speed
upstr time - downstr time = 2 hrs
- = 2
clear fractions, multiply equation by 35, cancel the denominators
7d - 5d = 35(2)
2d = 70
d = 70/2
d = 35 mi is the dist from A to B
:
:
Check this by finding the actual time each way
35/5 = 7 hrs
35/7 = 5 hrs
---------------
dif: 2 hrs

Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.
I am wondering how popular becomes this grain barge problem.

It is for the third time I see it posted in this forum.

First time it was

https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.1064815.html

and I solved it approximately a week ago.

Second time it was today

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1065125.html

with slightly updated input, and I solve it again.

Now it came for the THIRD time with the same data.

Amazing popularity !!!

RELATED QUESTIONS
A grain barge travels on a river from point A to point B loading and unloading grain. A... (answered by stanbon)
. A grain barge travels on a river from point A to point B loading and unloading grain.... (answered by ikleyn)
A grain barge travels on a river from point A to point B loading and unloading grain.... (answered by ikleyn)
a grain barge travels on a river from point a to point b loading and unloading grIn. the... (answered by ankor@dixie-net.com)
a speedy river barge bound for New Orleans leaves Baton Rouge at 9:00 AM and travels at a (answered by Theo)
A logging barge on the Mississippi River travels 24 miles upstream in 3 hours. The return (answered by pmatei)
A barge on the Sacramento River travels 24 miles upstream in 3 hours. The return trip... (answered by richwmiller)
A logging barge on the Mississippi River travels 24 miles upstream in 3 hours. The return (answered by mananth)
Traveling upstream on the Mississippi River, a barge travels 56 miles in 7 hours.... (answered by checkley77)