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1994 AMC 8 Question 17

AMC8 · 1994 AMC 8

Question 17

Pauline Bunyan can shovel snow at the rate of $20$ cubic yards for the first hour, $19$ cubic yards for the second, $18$ for the third, etc., always shoveling one cubic yard less per hour than the previous hour. If her driveway is $4$ yards wide, $10$ yards long, and covered with snow $3$ yards deep, then the number of hours it will take her to shovel it clean is closest to
  1. $4$
  2. $5$
  3. $6$
  4. $7$
  5. $12$