Question

X is half as good a workman as Y and together they finish a piece of work in 28 days. The number of days taken by X alone to finish the work is?

• A. 42
• B. 84
• C. 112
• D. 168
• E. 126

Answer 1

The correct option is B

84

Let the time taken by X to complete the work be ‘2x’ days.

The time taken by Y to complete the work will be ‘x’ days.

$\frac{1}{2x}+\frac{1}{x}=28$

$x=42days$ (Time taken by ‘Y’)

∴Time taken by $X=2x=84days$