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Updated on: 16 Aug 2024, 09:07
Originally posted by Iwillget770 on 26 Feb 2024, 00:17.
Last edited by Bunuel on 16 Aug 2024, 09:07, edited 3 times in total.
Last edited by Bunuel on 16 Aug 2024, 09:07, edited 3 times in total.
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X: 76
Y: 82
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
45% (03:02) correct
55%
(03:07)
wrong
based on 1114
sessions
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Lee is planning a trip and estimates that, rounded to the nearest 5 kilometers (km), the length of the trip will be 560 km and that, rounded to the nearest \(\frac{1}{4}\) hour, the driving time for the trip will be 7 hours. If these estimates are correct, then Lee’s average driving speed during the trip will be between __x__ kilometers per hour and _y__ kilometers per hour, where x < y.
From the values given in the table, select for x and for y the values that complete the statement in such a way that the interval between the selected values includes all possible average speeds for Lee's trip and y – x is minimal. Make only two selections, one in each column.
From the values given in the table, select for x and for y the values that complete the statement in such a way that the interval between the selected values includes all possible average speeds for Lee's trip and y – x is minimal. Make only two selections, one in each column.
ID: 700231
| X | Y | |
| 73 | ||
| 76 | ||
| 79 | ||
| 82 | ||
| 85 |
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Official Answer
X: 76
Y: 82
08 Mar 2024, 04:18
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This TPA quant question has all the features of a typical distance word problem with sprinkle of minimizing and maximizing fractions and a dash of translation to understand what the question stem is actually asking.
Watch this video solution and identify why you faltered in this question.
And you get to use the calculator for this question! One of the few questions in which calculator becomes a life-savior!
Watch this video solution and identify why you faltered in this question.
- Did you not understand how to calculate average speed?
- Corrective action: Obtain complete understanding of distance, speed, and time type of word problems. E-GMAT students can gain that understanding in WP course.
- Were you not able to calculate minimum and maximum average speed?
- Corrective action: Complete understanding of how fractions are maximised and how they are minimized e-GMAT students can gain that understanding in Basics of Quant course.
- Were you not able to understand what the question stem was asking – value of x and y such that y – x is minimized?
- Corrective action: Build your translate process skill. TPA course in the Data Insights section and all the quant courses teach this process skill.
And you get to use the calculator for this question! One of the few questions in which calculator becomes a life-savior!
26 Feb 2024, 00:58
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Iwillget770
Say distance is between 5 to 10: Nearest 5 km means the distance is rounded off to 5, if the distance is <7.5, otherwise rounded off to 10.
Thus, in case of 560, the distance would lie in range => \(557.5 \leq D < 562.5\)
Similarly, the hours would be in range => \((7-\frac{1}{2}*\frac{1}{4}) \leq D < (7+\frac{1}{2}*\frac{1}{4})\) = \(6.875 \leq D < 7.125\)
Minimum average speed = smallest distance in maximum time = \(\frac{557.5}{7.125}=78.25\)
Maximum average speed = largest distance in minimum time = \(\frac{562.5}{6.875}=81.81\)
Thus, the range should contain all values from 78.25 to 81.81
Since y-x has to be minimal, look for an option just below 78.25 for x, and look for an option just above 81.81 for y.
x = 76 and y=82
