Adriana can take an Uber (fastest), train (medium speed), or bike (slowest) to work. There are no other ways for her to get to work and each leaves at a pre-scheduled time so they all arrive at work perfectly on time. Given that Adriana misses the train AND is not late to work, prove how she must have gotten to work.

Statements | Reasons | Reference values
1. A can take an Uber, train, or bike to work. | QA1 | QA2 (one value)
2. Uber time < train time < bike time | (same as QA1) | (same as QA2)
3. A misses train time | (same as QA1) | (same as QA2)
4. A leave time < train time | Is she missed the train, her leave time must | QA3 (2 values)
be less than the train time
5. A is not late to work. | (same as QA1) | (same as QA2)
6. A can take Uber or bike to work | Because A made it to work, she traveled one
way (also Or elimination was applied) | QA4 (3 values)
7. Uber time = A leave time | Uber time < train time and A leave time < train | QA5 (2 values)
time, so Uber time = A leave time
8. A took Uber | Timing for uber is only one of two options | QA6 (2 values)
remaining; Or elimination and prior "computation"