Christine is taking a timed math test with 30 questions. She is allowed to spend 50 minutes on the test. She spends an average of 50 seconds per question on the first 8 questions. She spends an average of 134 seconds per question on the next 15 questions. If she wants to have 5 minutes left after she completes all 30 questions so that she can check her work, what must be her average time, in seconds, for the final 7 questions? Round your answer to the nearest second.
