Question : Susan can type 12 pages in 6 minutes. Mary can type 6 pages in 12 minutes, working together, how many pages can they type in 32 minutes?
Option 1: 80
Option 2: 65
Option 3: 70
Option 4: 75
Correct Answer: 75
Solution :
Susan can type 12 pages in 6 minutes.
Mary can type 6 pages in 12 minutes.
Total work = Time $\times$ Efficiency
Susan can type 12 pages in 6 minutes.
Number of pages Susan can type in 1 minute = $\frac{12}{6}$ = 2
Mary can type 6 pages in 12 minutes.
Number of pages Mary can type in 1 minute = $\frac{6}{12}=\frac{1}{2}$
Number of pages Both (A + B) type in 1 minute = $2 + \frac{1}{2} = \frac{5}{2}$
The number of pages in 30 minutes = $30 × \frac{5}{2} = 75$
Hence, the correct answer is 75.
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