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The distance from Shane’s house to his university is 27 x 10^6 inches

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Bunuel
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The distance from Shane’s house to his university is 27 x 10^6 inches [#permalink] New post   05 Apr 2016, 06:23
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The distance from Shane’s house to his university is 27 x 10^6 inches, and Shane’s car gets 23 miles to the gallon on average. If he has 20 gallons in his gas tank, does he need to stop for gas on the way back to school? (1 mile = 63360 inches)

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Re: The distance from Shane’s house to his university is 27 x 10^6 inches [#permalink] New post   05 Apr 2016, 07:31
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Bunuel wrote:
The distance from Shane’s house to his university is 27 x 10^6 inches, and Shane’s car gets 23 miles to the gallon on average. If he has 20 gallons in his gas tank, does he need to stop for gas on the way back to school? (1 mile = 63360 inches)

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Hi,
the distance is 27 * 10^6..

the average is 23 miles per gallon and total 20 gallons are there..
so total miles it can travel = 460 miles ..
given 1 mile = 63360
in inches, the car can travel = 460 * 63360 inches = 4.6 *6.336 * 10^6...
clearly no of digits are the same ..

so we will have to calculate further..
4.6 * 6.336 > 4.6 * 6.. TO MINIMIZE CALCULATIONS
4.6 *6 = 27.6..

so the car can travel > 27.6 * 10^6 and the distance is 27*10^6..
ans is NO, he need not stop for refuelling..
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Re: The distance from Shane’s house to his university is 27 x 10^6 inches [#permalink] New post   02 Nov 2020, 11:37
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Distance= \(\frac{27*10^6 inches}{63360 inches/mile}\) = 426.14 Miles
Range= 23 \(\frac{miles}{gallon}\) *20 gallons = 460 miles
He does not need to stop to refuel
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Re: The distance from Shane’s house to his university is 27 x 10^6 inches [#permalink] New post   04 Nov 2020, 13:08
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He does needs to stop to refuel because the distance given is only one way and the question says "does he need to stop for gas on the way back to school?"

Distance to cover: 426.14 miles x 2 = 852.28 miles (round trip)
Range: 23 miles/gallon x 20 gallons = 460 miles
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Re: The distance from Shane’s house to his university is 27 x 10^6 inches [#permalink] New post   10 Nov 2020, 07:29
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Bunuel wrote:
The distance from Shane’s house to his university is 27 x 10^6 inches, and Shane’s car gets 23 miles to the gallon on average. If he has 20 gallons in his gas tank, does he need to stop for gas on the way back to school? (1 mile = 63360 inches)

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Solution:

Since 27 x 10^6 / 63,360 ≈ 27 x 10^6 / (6 x 10^4) = 9 x 10^2 / 2 = 450 and we round down the denominator 63,360, the distance between his house and his university is actually less than 450 miles. Since the 20 gallons of gas can last 23 x 20 = 460 miles, which is more than the distance between his house and his university, he does NOT need to stop for gas.

Answer: No
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Re: The distance from Shane’s house to his university is 27 x 10^6 inches [#permalink] New post   13 Nov 2020, 09:02
This is a poor quality question. An accurate answer(up to 2nd decimal) is required to determine the answer i.e. YES/NO. Quant section in GMAT doesn't have an on-screen calculator which implies the test moderator wants us to determine approximate solving.
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Re: The distance from Shanes house to his university is 27 x 10^6 inches [#permalink] New post   21 Sep 2023, 02:34
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Re: The distance from Shanes house to his university is 27 x 10^6 inches [#permalink]
21 Sep 2023, 02:34
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