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Two typists of varying skill can do a job in 18 minutes if they work together. If the first typist alone typed for 9 minutes and then the second typist alone typed for 18 minutes, they would be left with 1/3rd of the entire work. How many minutes would it take for the faster typist to complete the typing job working alone?

Two typists of varying skill can do a job in 18 minutes if they work together. If the first typist alone typed for 9 minutes and then the second typist alone typed for 18 minutes, they would be left with 1/3rd of the entire work. How many minutes would it take for the faster typist to complete the typing job working alone? Correct Answer 27 minutes

Calculation:

Let A’s and B’s one minutes’ work be a and b respectively.

⇒ a + b = 1/18      ----(1)

⇒ 9a + 18b = 2/3      ----(2)

⇒ By solving we get

⇒ b = 1/54, and a = 1/27

⇒ A is more efficient than B

⇒ The required number of minutes A alone would take = 1/(1/27) = 27 minutes.

∴ The required result will be 27 minutes.

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