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91% (00:58) correct
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Carla can drive from her home to the mall by one of the two possible routes. If she must also return by one of these routes, what is the distance of the shorter route ?
(1) When she drives from her home to the mall by the shorter route and returns by the longer route, she drives a total of 35 kilometers.
(2) When she drives both ways, from her home to the mall and back, by the shorter route, she drives a total of 30 kilometers.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) When she drives from her home to the mall by the shorter route and returns by the longer route, she drives a total of 35 kilometers.
(2) When she drives both ways, from her home to the mall and back, by the shorter route, she drives a total of 30 kilometers.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
30 Jul 2025, 22:07
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Carla can drive from her home to the mall by one of the two possible routes. If she must also return by one of these routes, what is the distance of the shorter route ?
Let the longer and shorter routes be L and S miles long
(1) When she drives from her home to the mall by the shorter route and returns by the longer route, she drives a total of 35 kilometers.
Insufficient
S + L = 35
We can't determine S from this
(2) When she drives both ways, from her home to the mall and back, by the shorter route, she drives a total of 30 kilometers.
Sufficient
2*S = 30
S = 15
(B) is the answer.
Let the longer and shorter routes be L and S miles long
(1) When she drives from her home to the mall by the shorter route and returns by the longer route, she drives a total of 35 kilometers.
Insufficient
S + L = 35
We can't determine S from this
(2) When she drives both ways, from her home to the mall and back, by the shorter route, she drives a total of 30 kilometers.
Sufficient
2*S = 30
S = 15
(B) is the answer.
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31 Jul 2025, 01:35
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Solution:
Given: Carla dives from her home to the mall and then back to her home from the mall by taking either a shorter or longer route.
We have to find the distance of the shorter route.
1. When she drives from her home to the mall by the shorter route and returns by the longer route, she drives a total of 35 kilometers. Insufficient
2. When she drives both ways, from her home to the mall and back, by the shorter route, she drives a total of 30 kilometers. Sufficient
As the routes both from home to the mall and back from the mall to home are taken by the shorter route. So, the shorter route distance is 15Kms
Hence, option B
Given: Carla dives from her home to the mall and then back to her home from the mall by taking either a shorter or longer route.
We have to find the distance of the shorter route.
1. When she drives from her home to the mall by the shorter route and returns by the longer route, she drives a total of 35 kilometers. Insufficient
| Speed | Time | Distance | |
| Home to Mall(shorter Route) | R1 | T1 | R1T1 |
| Mall to Home(Longer Route) | R2 | T2 | R2T2 |
| Total | 35Km |
2. When she drives both ways, from her home to the mall and back, by the shorter route, she drives a total of 30 kilometers. Sufficient
| Speed | Time | Distance | |
| Home to Mall(Shorter Route) | 15 | ||
| Mall to Home(Shorter Route) | 15 | ||
| Total | 30Km |
As the routes both from home to the mall and back from the mall to home are taken by the shorter route. So, the shorter route distance is 15Kms
Hence, option B
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