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When traveling at a constant speed of 32 miles per hour, a certain mot
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14 Jun 2016, 13:46
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82% (01:08) correct 18% (01:16) wrong based on 1785 sessions
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When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel? A) \(\frac{2}{3}\) B) \(\frac{3}{4}\) C) \(\frac{4}{5}\) D) \(\frac{4}{3}\) E) \(\frac{3}{2}\)
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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14 Jun 2016, 17:07
AbdurRakib wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
A) \(\frac{2}{3}\) B) \(\frac{3}{4}\) C) \(\frac{4}{5}\) D) \(\frac{4}{3}\) E) \(\frac{3}{2}\) Dear AbdurRakib, I'm happy to respond. We have 32 mi/gal, and 24 gal/hr, and we want mile/gal. We need to divide (mi/hr) by (gal/hr) to get (mi/gal). Thus fuel consumption = (32 mi/gal)/(24 gal/hr) = 32/24 mi/gal In that fraction, cancel the common factor of 8. fuel consumption = (32 mi/gal)/(24 gal/hr) = 32/24 mi/gal = 4/3 mi/gal. Does this make sense? Mike
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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15 Jun 2016, 00:46
Distance travelled = 32 miles Fel consumed = 24 gallons So, 24 gallons lets motorboat travel 32 miles So, miles traveled per gallon of fuel = 32/24 = 4/3



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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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15 Jun 2016, 02:59
In 1 hour the motorboat travels 32 miles In travelling that 32 miles the motorboat uses 24 gallons of fuel in 1 hour
so basically we divide \(\frac{miles}{hr}\) by \(\frac{gallons}{hr}\) to get \(\frac{miles}{gallons}\)
\(\frac{32}{24}\) =\(\frac{4}{3}\) \(\frac{miles}{gallons}\)
Correct Answer  D



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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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13 Aug 2016, 11:05
One way to solve this: The speed is 32 miles / hour. The fuel consumption is 24 gallons / hour. So in every hour two things are happening: The boat has covered 32 miles The boat has consumed 24 gallons What is the miles /gallon > 32/24 => 4/3miles/gal. The choice is D



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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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02 Dec 2016, 06:54
AbdurRakib wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
A) \(\frac{2}{3}\) B) \(\frac{3}{4}\) C) \(\frac{4}{5}\) D) \(\frac{4}{3}\) E) \(\frac{3}{2}\) We are given that a motorboat has a rate of 24 gallons per hour while traveling at a speed of 32 miles per hour. We must determine the boat’s fuel consumption measured in miles traveled per gallon of fuel. Since the motorboat consumes 24 gallons when traveling 32 miles, the rate is 32/24 = 4/3. Answer: D
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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23 Feb 2018, 12:17
mikemcgarry wrote: AbdurRakib wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
A) \(\frac{2}{3}\) B) \(\frac{3}{4}\) C) \(\frac{4}{5}\) D) \(\frac{4}{3}\) E) \(\frac{3}{2}\) Dear AbdurRakib, I'm happy to respond. We have 32 mi/gal, and 24 gal/hr, and we want mile/gal. We need to divide (mi/hr) by (gal/hr) to get (mi/gal). Thus fuel consumption = (32 mi/gal)/(24 gal/hr) = 32/24 mi/gal In that fraction, cancel the common factor of 8. fuel consumption = (32 mi/gal)/(24 gal/hr) = 32/24 mi/gal = 4/3 mi/gal. Does this make sense? Mike hello there mikemcgarry, how are you ? you know what i dont understand, why isnt the answer B ? wouldnt it be logically correct to divide gallons by miles ?



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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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03 Apr 2018, 10:01
AbdurRakib wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
A) \(\frac{2}{3}\)
B) \(\frac{3}{4}\)
C) \(\frac{4}{5}\)
D) \(\frac{4}{3}\)
E) \(\frac{3}{2}\) Let's see what happens after ONE HOUR of traveling. In ONE hour, the boat will travel 32 miles and will use 24 gallons of fuel So, the fuel consumption rate is 32 miles per 24 gallons Or we can write: fuel consumption rate = 32/24 miles/gallon 32/24 = 4/3 So, the fuel consumption rate = 4/3 miles per gallon Answer: D Cheers, Brent
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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14 Apr 2018, 22:53
AbdurRakib wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
A) \(\frac{2}{3}\)
B) \(\frac{3}{4}\)
C) \(\frac{4}{5}\)
D) \(\frac{4}{3}\)
E) \(\frac{3}{2}\) It's (D) \(\frac{Miles  traveled}{gallonfuel}\) = \(\frac{32}{24}\) = \(\frac{4}{3}\)
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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25 Jan 2019, 18:10
mikemcgarry wrote: AbdurRakib wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
A) \(\frac{2}{3}\) B) \(\frac{3}{4}\) C) \(\frac{4}{5}\) D) \(\frac{4}{3}\) E) \(\frac{3}{2}\) Dear AbdurRakib, I'm happy to respond. We have 32 mi/gal, and 24 gal/hr, and we want mile/gal. We need to divide (mi/hr) by (gal/hr) to get (mi/gal). Thus fuel consumption = (32 mi/ gal)/(24 gal/hr) = 32/24 mi/gal In that fraction, cancel the common factor of 8. fuel consumption = (32 mi/ gal)/(24 gal/hr) = 32/24 mi/gal = 4/3 mi/gal. Does this make sense? Mike Was checking through the solutions to see other solutions to this problem, isn't the units in red suppose to be in "hours", instead of gallons?



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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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11 May 2019, 05:59
Speed of boat 32M/H and its consumption is 24 Gallon per hour.
Therefore boat consumes 24Gallon for every 32 Miles. or for every Gallaon boat travels 32/24 miles i.e 4/3 miles per gallon
AnsD



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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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11 May 2019, 22:55
AbdurRakib wrote: When traveling at a constant speed of 32 miles per hour, a certain motorboat consumes 24 gallons of fuel per hour. What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?
A) \(\frac{2}{3}\)
B) \(\frac{3}{4}\)
C) \(\frac{4}{5}\)
D) \(\frac{4}{3}\)
E) \(\frac{3}{2}\) In 24 gallons boat travel =36 In 1 " " " =36/24=4/3 Answer is D Posted from my mobile device



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When traveling at a constant speed of 32 miles per hour, a certain mot
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23 Nov 2019, 14:45
The part "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?" is a bit confusing to me. As it begins with "What is the fuel consumption", I translate into 24/32, which is wrong. Any one can help explain the wording of "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?", pls. Much thank
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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23 Nov 2019, 19:00
very nice information you share with us. thanks for this.
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Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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23 Nov 2019, 22:16
Tracy95 wrote: The part "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?" is a bit confusing to me. As it begins with "What is the fuel consumption", I translate into 24/32, which is wrong.
Any one can help explain the wording of "What is the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel?", pls.
Much thank When you translate that above statement into math, you're trying to find out \(\frac{Miles}{Gallon}\), or miles per gallon Information that is from the stem: 32 miles per hour = \(\frac{Miles}{Hour}\) Certain motorboat consumes 24 gallons of fuel per hour = \(\frac{Gallons}{Hour}\) In order to get miles per gallon, you have to divide (Miles Per Hour) by (Gallons Per Hour), that way the "hours" cancel out 32 (miles/hour) / 24 (Gallon/Hour) = 4/3 miles per gallon




Re: When traveling at a constant speed of 32 miles per hour, a certain mot
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