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

Question

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

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

ScottTargetTestPrep · Accepted Answer

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

Abhishek009 · Answer

Breakdown and solve -

Rate of consumption of fuel is 2.5 gallons/hr
No of Hours driven is  \frac{3.75}{2.5}  =  1.5 Hours ...

Speed is 60 miles/hr

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

Thus, answer will be (E) 90 Miles..

ashudhall · Answer

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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pushpitkc · Answer

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)

Luckisnoexcuse · Answer

(3.75/5) * 2 * 60 = 90

E

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ydmuley · Answer

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

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

akshayk · Answer

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.

satsurfs · Answer

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

jalice · Answer

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)

KSBGC · Answer

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.

LMP · Answer

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.

TheNightKing · Answer

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.

BijayKru · Answer

Rate of consumption of fuel is 2.5 gallons/hr
No of Hours driven is 3.752.5
3.75
2.5
 = 1.5Hours= 90 min

GMATinsight · Answer

Answer: Option E

Video solution by  GMATinsight

https://www.youtube.com/watch?v=FXifMu30fSY

sahuanamika · Answer

Here we are given constant rate 5 gallon per 2 hours and speed of car is 1mile/min

Speed = 1 mile/ minute = 60*1 = 60 miles/ hour
Also, 5 gallon per 2 hours => 1 hour = 2.5 gallons and car travelled 3.75 - 2.5 = 1.25( which is direct half of 2.5 gallons)
 => 1/2 hours = 2.5/2 gallons or 0.5 hours => 1.25 gallons

Note , first thing distance range will be between 60(1 hour) and 120(2 hours) so only valid options are E and D.
We need the extra 0.5 hour distance => 60*0.5 = 30 miles so , 60+30 = 90 Miles
Option E

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=vQIbtzfYZj0

Confide · Answer

Using 5 gallons of fuel in 2 hours the car can travel 120 miles - it used 3.75/5 gallons of fuel ~ approximately 80% - then 80% of 120 is 96 and we know our gallons used is under that 80%, closest answer choice is 90.

IMO E

IMO E

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