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2011 AMC 12A Question 12

AMC12 · 2011 AMC 12A

Question 12

A power boat and a raft both left dock $A$ on a river and headed downstream. The raft drifted at the speed of the river current. The power boat maintained a constant speed with respect to the river. The power boat reached dock $B$ downriver, then immediately turned and traveled back upriver. It eventually met the raft on the river $9$ hours after leaving dock $A.$ How many hours did it take the power boat to go from $A$ to $B?$
  1. $3$
  2. $3.5$
  3. $4$
  4. $4.5$
  5. $5$