AMC8 2009

AMC8 2009 · Q6

AMC8 2009 · Q6. It mainly tests Rates (speed), Arithmetic misc.

Steve's empty swimming pool will hold 24,000 gallons of water when full. It will be filled by 4 hoses, each of which supplies 2.5 gallons of water per minute. How many hours will it take to fill Steve's pool?

史蒂夫的空游泳池满水时能容纳24,000加仑水。它将由4根水管填充，每根水管每分钟供应2.5加仑水。填充史蒂夫的泳池需要多少小时？

(A) 40 40

(B) 42 42

(D) 46 46

(E) 48 48

Answer

Correct choice: (A)

正确答案：（A）

Solution

Answer (A): Together the hoses supply 10 gallons per minute to the pool. The pool holds 24,000 gallons, so it will take a total of $\frac{24,000\ \text{gallons}}{10\ \text{gallons/minute}} = 2400$ minutes. Because 2400 minutes equals 40 hours, it takes 40 hours to fill Steve's pool.

答案（A）：两根水管一起以每分钟 10 加仑的速度向游泳池注水。游泳池容量为 24,000 加仑，因此总共需要 $\frac{24,000\ \text{加仑}}{10\ \text{加仑/分钟}} = 2400$ 分钟。因为 2400 分钟等于 40 小时，所以给史蒂夫的泳池注满需要 40 小时。

Topics