Official Solution: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 \(\frac{total \ distance}{speed} = \frac{b + t}{90} = 10\), 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 \(\frac{4b + t}{90} = 35\), 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