Question

Two men together can do a piece of work in 6 days. If one of them finishes the work by himself in 16 days less than the other one, in how much time does the slower one do it?

• A. 20 days
• B. 18 days
• C. 24 days
• D. 30 days
• E. None of these

Answer 1

The correct option is C 24 days

$\frac{\left(x\right)(x+16)}{2x+16}=6$

⇒ x² + 16x = 12x + 96

⇒ x² + 4 = 96

⇒ x = −12, 8

x = 8 (As x cannot be −12)

Hence, the answer = x + 16 = 24 days.