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11 Jul 2024, 07:00
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D
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Difficulty:
55%
(hard)
Question Stats:
66% (01:51) correct
34%
(01:52)
wrong
based on 456
sessions
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What is the length of a train traveling at a constant speed of 90 meters per second, if it crosses Bridge A in 10 seconds, from the moment it enters the bridge to the moment its last carriage exits the bridge?
(1) The length of Bridge A is five times the length of the train.
(2) During the journey, the train crosses Bridge B, which is four times the length of Bridge A, in 35 seconds.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
(1) The length of Bridge A is five times the length of the train.
(2) During the journey, the train crosses Bridge B, which is four times the length of Bridge A, in 35 seconds.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
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11 Jul 2024, 08:45
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What is the length of a train traveling at a constant speed of 90 meters per second, if it crosses Bridge A in 10 seconds, from the moment it enters the bridge to the moment its last carriage exits the bridge?
Assuming the length of the bridge is b meters and the length of the train is t meters, the stem implies that (total distance)/(speed) = (b + t)/90 = 10, which simplifies to b + t = 900. We need to find the length of the train, t.
(1) The length of Bridge A is five times the length of the train.
This implies that b = 5t. Together with b + t = 900, this gives a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
(2) During the journey, the train crosses Bridge B, which is four times the length of Bridge A, in 35 seconds.
This implies (4b + t)/90 = 35, which gives 4b + t = 35 * 90. Again, we have a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
Answer: D.
GMAT Club Official Explanation:
What is the length of a train traveling at a constant speed of 90 meters per second, if it crosses Bridge A in 10 seconds, from the moment it enters the bridge to the moment its last carriage exits the bridge?
Assuming the length of the bridge is b meters and the length of the train is t meters, the stem implies that (total distance)/(speed) = (b + t)/90 = 10, which simplifies to b + t = 900. We need to find the length of the train, t.
(1) The length of Bridge A is five times the length of the train.
This implies that b = 5t. Together with b + t = 900, this gives a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
(2) During the journey, the train crosses Bridge B, which is four times the length of Bridge A, in 35 seconds.
This implies (4b + t)/90 = 35, which gives 4b + t = 35 * 90. Again, we have a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
Answer: D.
General Discussion
11 Jul 2024, 07:29
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Bunuel
Given figures in question:
Speed of train = s = 90 m/s
Time taken to cross bridge = 10 sec
we need to find L(T)- Length of the train
1) we will use simple concept of speed = distance / time but note here since train is crossing the bridge so total distance would be d= L(T) + L(Bridge A)
L(Bridge A) = 5 * L(T)
so formula becomes: 90= L(Bridge A) + L(T)/ 10 --> substituing L(Bridge A) = 5 * L(T)
we get 90 = 6 L(T)/10
hence L(T)= 150 m
Sufficient
2)now train crosses bridge B instead of A
L(Bridge B) = 4 * L(Bridge A) in t= 35 sec
hence, eqn becomes 90= L(T) + L(Bridge B) /35 ----> 90*35= L(T)+ 4 L(A)
we also know that 90= L(Bridge A) + L(T)/ 10 ----given in original question
hence solving both these eqn, we get L(T)= 150 m
Sufficient
hence Option D is correct
