question_answer

Two persons could fit new windows in a house in 3 days.

(a) One of the persons fell ill before the work started. How long would the job take now?

(b) How many persons would be needed to fit the windows in one day?

Answer:

(a) Let the job take x days.

No. of persons 2 1 Days 3 x

More the persons, the lesser the days. Hence, this is a case of inverse proportion

So,                         \[2\times 3=1\times \text{ }x\]

\[\Rightarrow \]                                 x = 6

Thus, the job would take 6 days.

(b) Let x persons needed to fit the windows in one day

No. of persons 2 x Days 3 1

This is case of inverse proportion

\[\therefore \,\]                      \[2\times 3=x\times 1\]

\[\Rightarrow \]                     \[x=6\]

Thus, 6 persons would be needed.