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

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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, 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 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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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 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.

Please give Kudos if you like my explanation :)
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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
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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


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  [#permalink]

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New post 24 Oct 2018, 14:07
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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



Given ,

1 mile in 1 minute

So, in 2 hours the car travels 120 miles.

5 gallons for 120 miles

1 gallons for 120/5 miles

3.75 gallons for 120 * 3.75 / 5 miles

120 * 3.75 / 5 = 90 miles.


The best answer is B.
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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 23 Jun 2019, 03:06
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


we know that the actual consumption of gasoline was 3.75. Now, 5 gallons in 2 hours is like 2.5 gallons in one hour.

3.75 is exactly one-half (of 2.5) greater than 2.5, so that is

going to be 3.75 in 1.5 hours. 1 mile per minute is like 60 miles per hour, so

we have 1.5 hours, 60 miles per hour. If we multiply both of

these numbers we get 90, and the correct answer choice 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 29 Oct 2019, 18:05
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. We can reduce this to a gallon every 24 minutes.

We need to burn 3.75 gallons which is 24+24+24+18 = 90

Answer 90. Option E.
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Re: During a certain time period, Car X traveled north along a straight ro   [#permalink] 29 Oct 2019, 18:05
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