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MMLU-Pro / 9919 / Two motorcycles are at rest and separated by 24.5 ft. They start at the same…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Two motorcycles are at rest and separated by 24.5 ft. They start at the same time in the same direction, the one in the back having an acceleration of 3 ft/sec^2, the one in the front going slower at an acceleration of 2 ft/sec^2. (a) How long does it take for the faster cycle to overtake the slower, (b)How far does the faster machine go before it catches up? (c) How fast is each cycle going at this time?

category

physics

options

  1. (a) 8 sec, (b) 75 ft, (c) 22 ft/sec and 15 ft/sec
  2. (a) 7 sec, (b) 75 ft, (c) 21 ft/sec and 15 ft/sec
  3. (a) 8 sec, (b) 80 ft, (c) 24 ft/sec and 16 ft/sec
  4. (a) 9 sec, (b) 81 ft, (c) 23 ft/sec and 18 ft/sec
  5. (a) 7 sec, (b) 73.5 ft, (c) 21 ft/sec and 14 ft/sec
  6. (a) 6.5 sec, (b) 71 ft, (c) 19.5 ft/sec and 13 ft/sec
  7. (a) 6 sec, (b) 70 ft, (c) 20 ft/sec and 12 ft/sec
  8. (a) 10 sec, (b) 90 ft, (c) 25 ft/sec and 20 ft/sec
  9. (a) 5 sec, (b) 60 ft, (c) 18 ft/sec and 10 ft/sec
  10. (a) 7.5 sec, (b) 78 ft, (c) 22.5 ft/sec and 15 ft/sec

src

stemez-Physics

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Source and history

upstream_id / Original problem ID
9919
task_id
264164f8-a0b6-54f7-8712-8c82cc0ca0d2
task_key
default--test--9919
task_revision_id
1
config / split
default / test

Official source

initial import