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During a certain time period, Car X traveled north along a straight ro

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During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 16 Jun 2017, 06:54
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During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

A. 36
B. 37.5
C. 40
D. 80
E. 90

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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 16 Jun 2017, 07:01
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Time taken by carX= 2*3.75/5= 1.5
Speed of car=60 miles/hr
Hence distance covered=90 miles
Hence E

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During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 16 Jun 2017, 08:03
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Since the car travels 2 hours in 5 Gallons, it travels \(\frac{(3.75 * 2)}{5}\) = 1.5 hours in 3.75 Gallons.

In the question stem, it has been given that the car travels at a constant rate
of 1 mile/minutes, so in 1.5 hours(90 minutes), the car travels 90 miles(Option E)
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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 16 Jun 2017, 08:31
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AbdurRakib wrote:
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?
A. 36
B. 37.5
C. 40
D. 80
E. 90

Breakdown and solve -

Quote:
used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel,


Rate of consumption of fuel is 2.5 gallons/hr
No of Hours driven is \(\frac{3.75}{2.5}\) = \(1.5 Hours\)...
Quote:
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute


Speed is 60 miles/hr

So, Total distance travelled is 60*1.5 = 90 miles...

Thus, answer will be (E) 90 Miles..
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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 29 Jun 2017, 11:38
(3.75/5) * 2 * 60 = 90

E


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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 29 Jun 2017, 15:05
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During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

Speed = 1 Mile/Min

Fuel Consumption Rate = 5 Gallons/2 Hours = 5 Gallons/120 Minutes

Total Fuel consumed by car X = 3.75 gallons

From total fuel usage we can calculate the time taken by the car, let the total time taken be \(x\)

\(x = \frac{3.75 * 120}{5}\)

x = 90 minutes

\(Speed = \frac{Distance}{Time}\)

\(Distance = Speed * Time\)

\(Distance = 1 * 90 = 90 Miles\)

Hence, Answer is E
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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 07 Aug 2017, 10:24
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AbdurRakib wrote:
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

A. 36
B. 37.5
C. 40
D. 80
E. 90


1 mile per minute = 60 miles per hour.
5 gallons per 2 hours = 2.5 gallons per hour => Distance travelled per 2.5 gallons = 60 miles
3.75 gallons of fuel = 2.5 + 1.25 => 1.25 is half of 2.5

=> Distance travelled in 3.75 gallons of fuel = Distance traveled in 2.5 gallons of fuel + Half the distance travelled in 2.5 gallons of fuel
=> Distance travelled in 3.75 gallons of fuel = 60 + 30 = 90 miles

E is the answer.
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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 05 Sep 2017, 03:32
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AbdurRakib wrote:
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

A. 36
B. 37.5
C. 40
D. 80
E. 90


5 Gallons every 2 hours --> 2.5 Every 1 hour! There 3.75 - 2.5(60 minutes) +1.25 (30 minutes)

Total distance= 1 X90 =90 miles.

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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 07 Sep 2017, 16:39
2
AbdurRakib wrote:
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

A. 36
B. 37.5
C. 40
D. 80
E. 90


Since the car has a constant rate of 1 mile per minute, we can let r = the rate of the car in miles per hour and create the following equation:

1/1 = x/60

x = 60 mph

Since the car uses 5 gallons of fuel every 2 hours, we can let x = the number of hours driven when the car uses 3.75 gallons of fuel and create the following proportion:

5/2 = 3.75/x

5x = 7.5

x = 1.5 hours

We know that the rate of the car is 60 mph and the car has been driven for 1.5 hours; thus, the distance driven is 60 x 1.5 = 90 miles.

Alternate Solution:

Since the car uses 5 gallons of fuel every 2 hours, or 120 minutes, we can let x = the number of minutes when the car uses 3.75 gallons of fuel and create the following proportion:

5/120 = 3.75/x

5x = 120(3.75)

x = 90

So, the car is driven for for 90 minutes. Since it travels 1 mile per minute, it will have traveled 90 miles.

Answer: E
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Re: During a certain time period, Car X traveled north along a straight ro  [#permalink]

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New post 01 Oct 2018, 10:18
In 2 hours fuel used=5 gallons
so, in 1 hr=5/2 gallons/hr => 5/2*60=5/120 gallons/min

In 5/120 gallons distance travelled=1 mile
So, in 3.75 gallons distance covered=120*3.75/5 => 90 miles

(E)
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Re: During a certain time period, Car X traveled north along a straight ro &nbs [#permalink] 01 Oct 2018, 10:18
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During a certain time period, Car X traveled north along a straight ro

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