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19 Feb 2025, 01:30
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C
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Difficulty:
15%
(low)
Question Stats:
85% (01:28) correct
15%
(01:45)
wrong
based on 52
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Jamal can drive from his home to his mother's house by one of two possible routes. If he must also return by one of these routes, what is the distance of the shorter route?
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
(1) Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
Updated on: 19 Feb 2025, 02:44
Originally posted by GMATinsight on 19 Feb 2025, 02:16.
Last edited by GMATinsight on 19 Feb 2025, 02:44, edited 1 time in total.
Last edited by GMATinsight on 19 Feb 2025, 02:44, edited 1 time in total.
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Bunuel
Question: Distance of shorter route = ?
Statement 1: Driving at a constant speed, it takes 2/3 longer to take the longer route than the shorter route.
For constant speed the ratio of distances = ratio of time taken
i.e. If ratio of time = 1+(2/3)
the ratio of long to short distance = 5/3
But the distance can NOT be calculated hence
NOT SUFFICIENT
Statement 2: When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.
i.e Longer route = 30 km
But there is no relation between the distances of longer and shorter route hence
NOT SUFFICIENT
Combining the statements
Long/Short = 5/3
Long = 30
i.e. Short = 18
SUFFICIENT
Answer: Option C
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19 Feb 2025, 02:23
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Given there are 2 possible routes: longer(l) and shorter(s)
Distance of s?
Statement 1
Time taken for longer route is 2/3 longer, i.e. if time taken for shorter route is x, time for longer route is x+2x/3 = 5x/3
Time taken for longer:shorter = 5x:3x
Given time is directly proportional to distance given speed is constant, distance of longer:shorter = 5x:3x
However, we need value of longer route or shorter route to get the distance of s, which isn't provided
Insufficient
Statement 2
2l = 60
l = 30
However we don't know the relation b/w longer and shorter route
Insufficient
Combined,
l = 30 and distance of longer:shorter = 5x:3x
l = 5x = 30
x = 6
This means 3x = 3*6 = 18 = s
Sufficient
Distance of s?
Statement 1
Time taken for longer route is 2/3 longer, i.e. if time taken for shorter route is x, time for longer route is x+2x/3 = 5x/3
Time taken for longer:shorter = 5x:3x
Given time is directly proportional to distance given speed is constant, distance of longer:shorter = 5x:3x
However, we need value of longer route or shorter route to get the distance of s, which isn't provided
Insufficient
Statement 2
2l = 60
l = 30
However we don't know the relation b/w longer and shorter route
Insufficient
Combined,
l = 30 and distance of longer:shorter = 5x:3x
l = 5x = 30
x = 6
This means 3x = 3*6 = 18 = s
Sufficient
Bunuel
