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Jack has full tank of gas in his car and wants to drive 550 miles. He

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Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 14 Mar 2020, 18:39
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GMATBusters’ Quant Quiz Question -9



Jack has full tank of gas in his car and wants to drive 550 miles. He doesn’t remember the capacity (in gallons) of his gas tank nor does he remember his car's fuel efficiency. If Jack travels at a constant speed, does he have enough gas to drive to his destination?

1) After he drives 137 miles he realizes he has three-quarters of the full tank of gas left.
2) After he drives 411 miles he realizes he has used three-quarters of the full tank of gas.

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Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 14 Mar 2020, 18:43
St1) After he drives 137 miles he realizes he has three-quarters of the full tank of gas left.

1/4 of full tank of gas is consumed to travel 137 miles.
Since, he is driving at a constant speed, distance travelled from remaining 3/4 of gas can be calculated
SUFFICIENT

St2) After he drives 411 miles he realizes he has used three-quarters of the full tank of gas.
3/4 of full tank of gas is consumed to travel 411 miles
Since, he is driving at a constant speed, distance travelled from remaining 1/4 of gas can be calculated
SUFFICIENT

Answer D
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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 14 Mar 2020, 18:54
Both statement are not sufficient option E

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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 14 Mar 2020, 20:20
Jack has full tank of gas in his car and wants to drive 550 miles. He doesn’t remember the capacity (in gallons) of his gas tank nor does he remember his car's fuel efficiency. If Jack travels at a constant speed, does he have enough gas to drive to his destination?

Total tank capacity = X

f) After he drives 137 miles he realizes he has three-quarters of the full tank of gas left.
After 137 miles, he consumed 25% of fuel, remaining 3X/4 fuel. So, 137 *4 =548 miles, he can be drive 548 miles. So, he's short of 2 miles fuel. So he did not have enough gas to drive to destination. Confirmed yes answer. Sufficient.

2) After he drives 411 miles he realizes he has used three-quarters of the full tank of gas.
After 411 miles, he used 75 % of fuel, remaining X/4 of fuel. So, 3X/4 fuel covers 411 miles, So, 137 miles more he can travel. Again, he's short of 2 miles fuel. So he did not have enough gas to drive to destination. Confirmed yes answer. Sufficient.

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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 14 Mar 2020, 20:28
Jack has full tank of gas in his car and wants to drive 550 miles.

To drive whether Jack will be able to drive 550 miles with his current tank capacity. We need know his tank capacity and also fuel efficiency.

1) After he drives 137 miles he realizes he has three-quarters of the full tank of gas left.

We now know that he was able to drive 137 miles with 25% of his gas capacity. So with his full tank , he can drive 137*4 = 548 miles.

Option 1 is Sufficient.

2) After he drives 411 miles he realizes he has used three-quarters of the full tank of gas.

We now know that Jack has driven 411 miles with 75% of his tank. So we can calculate that with 100% of tank capacity, he could drive - 411 * (4/3) = 548 Miles.

Option 2 is Sufficient.

Ans: D
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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 14 Mar 2020, 21:35
OA is D. Either statement alone is sufficient.

Statement 1: he drove 137 miles using 1/4 of full tank. So he will be able to drive 137*4=548 miles with the remaining fuel. So he won't be able to reach it's destination with the fuel.(sufficient)
Statement 2: he drove 411 miles using 3/4 gallons of fuel that means he will reach only 411/3*4 miles=548 with the fuel tank. Which is again not enough to reach its destination.
(Sufficient)
So OA is D

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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 15 Mar 2020, 02:15
Given:
1. Jack has full tank of gas in his car and wants to drive 550 miles.
2. He doesn’t remember the capacity (in gallons) of his gas tank nor does he remember his car's fuel efficiency.

Asked: If Jack travels at a constant speed, does he have enough gas to drive to his destination?

f) After he drives 137 miles he realizes he has three-quarters of the full tank of gas left.
1/4 of full tank of gas is consumed to travel 137 miles
1 full tank of gas will be consumed to travel 137 * 4 = 548 miles
He does not have enough gas to travel 550 miles
SUFFICIENT

2) After he drives 411 miles he realizes he has used three-quarters of the full tank of gas.
3/4 of full tank of gas is consumed to travel 411 miles
1 full tank of gas will be consumed to travel 411 * 4/3 = 548 miles
He does not have enough gas to travel 550 miles
SUFFICIENT

IMO D
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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 15 Mar 2020, 04:49
Answer : D
Statement:1
for 137 miles ,1/4 of tank used (V/4)
correspondingly for balance 413 miles ,gas needed to drive= V/4X413/137=Approx 3/4V ,which is available
Sufficient
Statement 2:
For 411 miles,3/4 of tank used(3/4V)
Correspondingly, for balance 139 miles ,gas needed to drive=3V/4X139/411=Apprx. V/4,which is available
Sufficient
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Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post Updated on: 16 Mar 2020, 12:49
Let capacity of tank be g. We need to find if g gallons of gas is sufficient to drive 550 miles

Statement 1: Dist. = 137 miles, Gas used = \(\frac{1}{4}\)g gallons
so distance covered in g gallons or 1 full tank = 137*4=548 miles

Sufficient

Statement 2: Dist. = 411 miles, Gas used = \(\frac{3}{4}\)g gallons
so distance covered in g gallons or 1 full tank = 411*4/3=548 miles
Sufficient

Answer = D

Originally posted by abannore on 15 Mar 2020, 05:19.
Last edited by abannore on 16 Mar 2020, 12:49, edited 1 time in total.
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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He  [#permalink]

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New post 15 Mar 2020, 06:51
Quote:
Jack has full tank of gas in his car and wants to drive 550 miles. He doesn’t remember the capacity (in gallons) of his gas tank nor does he remember his car's fuel efficiency. If Jack travels at a constant speed, does he have enough gas to drive to his destination?

f) After he drives 137 miles he realizes he has three-quarters of the full tank of gas left.
2) After he drives 411 miles he realizes he has used three-quarters of the full tank of gas.


Assumption is that he is getting constant mileage.

1) After he drives 137 miles he realizes he has three-quarters of the full tank of gas left.

So he covered 137miles in 1/4th of a tank and will be able to cover 411 miles with remaining 3/4th. Sufficient to answer the question.

2) After he drives 411 miles he realizes he has used three-quarters of the full tank of gas.
Exact opposite of what is given in Statement 1 but the same numbers. Sufficient to answer.

Answer D
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Re: Jack has full tank of gas in his car and wants to drive 550 miles. He   [#permalink] 15 Mar 2020, 06:51

Jack has full tank of gas in his car and wants to drive 550 miles. He

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