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12 May 2021, 21:00
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Value of
x: 49 Value of
y: 17
x: 49 Value of
y: 17
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
79% (02:59) correct
21%
(03:25)
wrong
based on 921
sessions
History
Date
Time
Result
Not Attempted Yet
When Car P travels at a constant speed of x miles per hour for 84 minutes, and Car Q travels at an average speed of y miles per hour for 168 minutes, Car P travels 21 miles more than Car Q.
In the table below, select a value for x and a value for y that together are consistent with the given information. In the first column, select the row that corresponds to the value of x, and in the second column, select the row that corresponds to the value of y.
In the table below, select a value for x and a value for y that together are consistent with the given information. In the first column, select the row that corresponds to the value of x, and in the second column, select the row that corresponds to the value of y.
|
Value of x |
Value of y |
Possible answers |
| 8 | ||
| 14 | ||
| 17 | ||
| 29 | ||
| 42 | ||
| 49 |
ShowHide Answer
Official Answer
Value of
x: 49 Value of
y: 17
x: 49 Value of
y: 17
12 May 2021, 22:07
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Given: When Car P travels at a constant speed of x miles per hour for 84 minutes, and Car Q travels at an average speed of y miles per hour for 168 minutes, Car P travels 21 miles more than Car Q.
Car P:
Speed = x mph
Time travelled = 84 min = 84/60 = 1.4 hours
Distance travelled = 1.4x miles
Car Q:
Speed = y mph
Time travelled = 168 min = 168/60 = 2.8 hours
Distance travelled = 2.8y miles
Car P travels 21 miles more than Car Q.
1.4x - 2.8y = 21
x - 2y = 21/1.4 = 15
x = 49; y = 17
x - 2y = 49 - 2*17 = 49 - 34 = 15
In the table below, select a value for x and a value for y that together are consistent with the given information. In the first column, select the row that corresponds to the value of x, and in the second column, select the row that corresponds to the value of y.
Car P:
Speed = x mph
Time travelled = 84 min = 84/60 = 1.4 hours
Distance travelled = 1.4x miles
Car Q:
Speed = y mph
Time travelled = 168 min = 168/60 = 2.8 hours
Distance travelled = 2.8y miles
Car P travels 21 miles more than Car Q.
1.4x - 2.8y = 21
x - 2y = 21/1.4 = 15
x = 49; y = 17
x - 2y = 49 - 2*17 = 49 - 34 = 15
In the table below, select a value for x and a value for y that together are consistent with the given information. In the first column, select the row that corresponds to the value of x, and in the second column, select the row that corresponds to the value of y.
| Value of x | Value of y | Possible answers |
| 8 | ||
| 14 | ||
| X | 17 | |
| 29 | ||
| 42 | ||
| X | 49 |
rocky620
Retired Moderator
Joined: 10 Nov 2018
Last visit: 11 May 2023
Posts: 476
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail: E-commerce)
18 Jun 2021, 07:51
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Car P:
Speed = x mph
Time = 84 minutes = \(\frac{7}{5}\) hrs
Distance = \(\frac{7x}{5}\) (Speed*Time)..........(1)
Car Q:
Speed = y mph
Time = 168 minutes = \(\frac{14}{5}\) hrs
Distance = \(\frac{14y}{5}\) (Speed*Time)..........(2)
It is given that (1) - (2) = 21
\(\frac{7x}{5}\) - \(\frac{14y}{5}\) = 21
7x - 14y= 21*5
x - 2y = 15..........(3)
a-b will be odd only if one of them is odd and the other is even.
Since, 2y, will always be even, x has to be odd. Only two choices are left for x. 29 & 49. Substituting these values in (3).
When,
x=29, y=7. (7 is not in options eliminate)
x=49, y=17. yes it satisfies our condition. This is the correct answer
Speed = x mph
Time = 84 minutes = \(\frac{7}{5}\) hrs
Distance = \(\frac{7x}{5}\) (Speed*Time)..........(1)
Car Q:
Speed = y mph
Time = 168 minutes = \(\frac{14}{5}\) hrs
Distance = \(\frac{14y}{5}\) (Speed*Time)..........(2)
It is given that (1) - (2) = 21
\(\frac{7x}{5}\) - \(\frac{14y}{5}\) = 21
7x - 14y= 21*5
x - 2y = 15..........(3)
a-b will be odd only if one of them is odd and the other is even.
Since, 2y, will always be even, x has to be odd. Only two choices are left for x. 29 & 49. Substituting these values in (3).
When,
x=29, y=7. (7 is not in options eliminate)
x=49, y=17. yes it satisfies our condition. This is the correct answer
