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# Amount in Gallons

Sun 8 May, 2016 02:56 pm
A river is 12 ft. in depth and 96 yds. in width. The water flows at 4.5 mph. 120 gallons = 16 cu. ft. Determine amount (gallons) that flows across a given point in 5 min.

Answer provided with problem: 42,768,000 gal.

What is known:

The river is 12 ft. deep and 96 yds. wide.
The water flows at 4.5 mph.
120 gal. = 16 cu. ft.

Want to know:

Amount ( in gallons) flowing across a given point in 5 min.

12 x 288 (yds. converted to ft.) = 3456 (not sure what this would be called).

5 min. = 0.8333 hrs.

How do I proceed ?

Not homework question.
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TomTomBinks

1
Sun 8 May, 2016 04:40 pm
@Randy Dandy,
Start by converting mph into feet per second. Your width times depth result would then be multiplied by the number of seconds in five minutes. Do you follow?
TomTomBinks

1
Sun 8 May, 2016 04:42 pm
@TomTomBinks,
This will give you cubic feet, you must then convert to gallons.
Randy Dandy

1
Sun 8 May, 2016 05:22 pm
@TomTomBinks,
0 Replies

Randy Dandy

1
Sun 8 May, 2016 05:24 pm
@TomTomBinks,
Ok.
0 Replies

Randy Dandy

1
Sun 8 May, 2016 05:33 pm
@TomTomBinks,
4.5 mph = 6.6 fps.

5 min. = 18000 sec.

18000 x 3456 = 62208000 cu. ft.

62208000 cu. ft. x 7.48 gal. = 465315840 gal.

Where am I correct ?
Randy Dandy

1
Sun 8 May, 2016 08:17 pm
Again, NOT homework question.
0 Replies

Randy Dandy

2
Mon 9 May, 2016 06:02 am
Now I have been labeled an "IDIOT" and having a "TANTRUM". Neither is appreciated, as well as previously "Do My Homework" and "Lazy Student". You have just lost a user to this site. To the ones who assisted me, I do thank you.
TomTomBinks

1
Mon 9 May, 2016 11:15 am
@Randy Dandy,
I think you calculated the number of seconds in five hours.
0 Replies

Tes yeux noirs

1
Mon 9 May, 2016 01:18 pm
So where am I going wrong?

12 feet deep
288 feet wide
4.5 miles/hr = 23760 feet in 3600 seconds
= 6.6 feet per second
5 mins = 300 seconds
6.6 x 300 feet in 5 minutes
= 1980 feet
volume of water = 12 x 288 x 1980 cubic feet
= 6842880 cubic feet
1 cubic foot = 120/16 US gallons
= 7.5 US gallons
6842880 x 7.5 = 51,321,600 gallons
TomTomBinks

1
Mon 9 May, 2016 11:08 pm
@Randy Dandy,
Don't let them get to you, ignore them. I think it's awesome that you are teaching yourself. It seems that so few people seek knowledge. Maybe put a header in your question that states you are a self learner...
Randy Dandy

1
Tue 10 May, 2016 11:48 am
Ok, I will give another chance. But fair warning: if occurs again, that's it.
0 Replies

Randy Dandy

1
Tue 10 May, 2016 12:53 pm
@TomTomBinks,
0 Replies

Randy Dandy

1
Tue 10 May, 2016 01:09 pm
@Tes yeux noirs,
I rechecked the problem and have a typo:

The problem states 100 gal. = 16 cu. ft. I typed 120 gal.

16 x 7.48 = 119.68 = 120

Why would they use 100 ? A nice round number ?
Tes yeux noirs

1
Tue 10 May, 2016 01:34 pm
@Randy Dandy,
Quote:
Why would they use 100 ? A nice round number ?

I should have caught this.

US gallons are smaller than Imperial (British) gallons.

(Of course in Britain we have been using litres for the last 40 years but no matter - perhaps this is an old textbook?)

100 Imperial (British) gallons = 16.0544 cubic feet.

Thus my calculation method above was correct.

12 feet deep
288 feet wide
4.5 miles/hr = 23760 feet in 3600 seconds
= 6.6 feet per second
5 mins = 300 seconds
6.6 x 300 feet in 5 minutes
= 1980 feet
volume of water = 12 x 288 x 1980 cubic feet
= 6842880 cubic feet
1 cubic foot = 100/16 Imperial gallons
= 6.25 Imperial gallons
6842880 x 6.25 =42768000 Imperial gallons
Randy Dandy

1
Tue 10 May, 2016 01:51 pm
@Tes yeux noirs,
Thanks.
0 Replies

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