Question

Mark (✓) against the correct answer:
14 workers can build a wall in 42 days. One worker can build it in
(a) 3 days
(b) 147 days
(c) 294 days
(d) 588 days

Answer 1

(d) 588 days
Let one worker take x days to build the wall.

No. of workers	14	1
No. of days	42	$x$

Clearly, one worker will take more days to finish the work.
So, it is a case of inverse proportion.

$$\begin{gathered} \mathrm{Now},14\times 42=1\times x \\ \Rightarrow x=14\times 42 \\ \Rightarrow x=588 \end{gathered}$$

∴ One worker can build the wall in 588 days.