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18 Dec 2023, 07:00
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E
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Difficulty:
35%
(medium)
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78% (01:50) correct
22%
(02:33)
wrong
based on 218
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12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun
Two trains, A and B, depart from stations X and Y respectively, and head toward each other. The speed of A is twice that of B. If when they meet, the slower train has traveled 30 km less than the faster train, what is the distance between stations X and Y?
A. 30 km
B. 45 km
C. 60 km
D. 75 km
E. 90 km
Two trains, A and B, depart from stations X and Y respectively, and head toward each other. The speed of A is twice that of B. If when they meet, the slower train has traveled 30 km less than the faster train, what is the distance between stations X and Y?
A. 30 km
B. 45 km
C. 60 km
D. 75 km
E. 90 km
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19 Dec 2023, 09:18
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GMAT Club Official Explanation:
Two trains, A and B, depart from stations X and Y respectively, and head toward each other. The speed of A is twice that of B. If when they meet, the slower train has traveled 30 km less than the faster train, what is the distance between stations X and Y?
A. 30 km
B. 45 km
C. 60 km
D. 75 km
E. 90 km
Since the speed of A is twice that of B, then when they meet, A would have covered twice the distance (2d) that B would have covered (d). Given that the difference in the distance covered is 30 km, we get:
2d - d = 30
d = 30 km.
The distance between stations X and Y is the sum of the distances covered by A and B by the time they meet. Hence, the total distance is 2d + d = 3d = 90 km.
Answer: E.
General Discussion
18 Dec 2023, 07:31
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Bunuel
OA is E
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