题目
There is a total of 1,800 pages that needs to be typed. If it takes 90 minutes when a types alone, 45 minutes when b types alone, and 30 minutes when c types alone. How many minutes does it take if 3 of them work together?
解析
“a”单独完成这项工作需要90分钟。
“a”的工作效率 = \( \frac{1}{90} \)
“b”单独完成这项工作需要45分钟。
“b”的工作效率 = \( \frac{1}{45} \)
“c”单独完成这项工作需要30分钟。
“c”的工作效率 = \( \frac{1}{30} \)
“a、b、c”三人合作的工作效率为:
\[ \frac{1}{90} + \frac{1}{45} + \frac{1}{30} = \frac{1+2+3}{90} = \frac{6}{90} = \frac{1}{15} \]
因此,三人合作完成这项工作所需的时间为:
\[ \frac{1}{(1/15)} = 15 \text{分钟} \]
答案:C