Question : Raju and Akber take 4 hours and 6 hours to type 32 pages and 48 pages, respectively, on a computer. They are given an assignment of typing 256 pages. If they work together, typing on two different computers, starting at the same time, how much time will they take to complete the assignment (in hours)?
Option 1: 16
Option 2: 14
Option 3: 18
Option 4: 12
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Correct Answer: 16
Solution :
Given: Raju takes 4 hours to type 32 pages
Akber takes 6 hours to type 48 pages
Typing speed of Raju = $\frac{32}{4}$ = 8
Typing speed of Akber = $\frac{48}{6}$ = 8
In one hour, they can type = (8 + 8) = 16 pages
Time is taken to type 256 pages = $\frac{256}{16}$ = 16 hours
Hence, the correct answer is 16.
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