Question : Aarti can type 85 pages in 10 hours. Aarti and Bina together can type 500 pages in 40 hours. How much time will Bina take to type 40 pages?
Option 1: 10 hours
Option 2: 15 hours
Option 3: 14 hours
Option 4: 12 hours
Correct Answer: 10 hours
Solution :
Aarti can type 85 pages in 10 hours.
Aarti can type in 1 hour = $\frac{85}{10} = 8.5$ pages
Aarti and Bina together can type 500 pages in 40 hours.
Aarti and Bina together can type in 1 hour $=\frac{500}{40} = 12.5$ pages
Bina can type in 1 hour $=12.5 - 8.5 = 4$ pages
$\therefore$ Bina can type 40 pages in $\frac{40}{4} = 10$ hours
Hence, the correct answer is 10 hours.
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