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In a warehouse test, two robots, Atlas and Nova, start at the same point at the same time and move away from each other in opposite directions along the same straight aisle. Each robot moves at a constant speed and keeps running until its battery runs out. Does Atlas travel farther than Nova?
(1) Atlas’s speed is 12 kilometers per hour greater than Nova’s speed.
(2) Atlas runs for \(\frac{1}{3}\) as long as Nova runs.
(1) Atlas’s speed is 12 kilometers per hour greater than Nova’s speed.
(2) Atlas runs for \(\frac{1}{3}\) as long as Nova runs.
30 May 2026, 08:56
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Official Solution:
In a warehouse test, two robots, Atlas and Nova, start at the same point at the same time and move away from each other in opposite directions along the same straight aisle. Each robot moves at a constant speed and keeps running until its battery runs out. Does Atlas travel farther than Nova?
(1) Atlas’s speed is 12 kilometers per hour greater than Nova’s speed.
Knowing only that Atlas is faster does not determine who travels farther, because the run times could differ. Not sufficient.
(2) Atlas runs for \(\frac{1}{3}\) as long as Nova runs.
Knowing only that Atlas runs for \(\frac{1}{3}\) as long as Nova does does not determine who travels farther, because the speeds could differ. Not sufficient.
(1)+(2)
Let Nova’s speed be \(v\) kilometers per hour. Then Atlas’s speed is \(v + 12\).
Let Nova’s run time be \(T\) hours. Then Atlas’s run time is \(\frac{T}{3}\).
Nova’s distance = \(v * T\).
Atlas’s distance = \((v + 12) * \frac{T}{3}\).
We need to determine whether \((v + 12) * \frac{T}{3} > v * T\):
Is \((v + 12) * \frac{T}{3} > v * T\)?
Is \(\frac{v + 12}{3} > v\)?
Is \(v < 6\)?
Since \(v\) could be less than 6 or at least 6, we cannot determine whether Atlas traveled farther. Not sufficient.
Answer: E
In a warehouse test, two robots, Atlas and Nova, start at the same point at the same time and move away from each other in opposite directions along the same straight aisle. Each robot moves at a constant speed and keeps running until its battery runs out. Does Atlas travel farther than Nova?
(1) Atlas’s speed is 12 kilometers per hour greater than Nova’s speed.
Knowing only that Atlas is faster does not determine who travels farther, because the run times could differ. Not sufficient.
(2) Atlas runs for \(\frac{1}{3}\) as long as Nova runs.
Knowing only that Atlas runs for \(\frac{1}{3}\) as long as Nova does does not determine who travels farther, because the speeds could differ. Not sufficient.
(1)+(2)
Let Nova’s speed be \(v\) kilometers per hour. Then Atlas’s speed is \(v + 12\).
Let Nova’s run time be \(T\) hours. Then Atlas’s run time is \(\frac{T}{3}\).
Nova’s distance = \(v * T\).
Atlas’s distance = \((v + 12) * \frac{T}{3}\).
We need to determine whether \((v + 12) * \frac{T}{3} > v * T\):
Is \((v + 12) * \frac{T}{3} > v * T\)?
Is \(\frac{v + 12}{3} > v\)?
Is \(v < 6\)?
Since \(v\) could be less than 6 or at least 6, we cannot determine whether Atlas traveled farther. Not sufficient.
Answer: E
