# NCERT Solutions Class 8 Mathematics Solutions for Exercise 13.2 in Chapter 13 - Direct and Inverse Proportions

Question 20 Exercise 13.2

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

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

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

Solution:

(i) Let the number of days be x.

Here the number of persons and the number of days are in inverse proportion.

\begin{aligned} &\begin{array}{l} \frac{2}{1}=\frac{x}{3} \\ 6=x \end{array}\\ &\text { Or } x=6 \text { days } \end{aligned}

(ii) Let the number of persons be x.

Here the number of persons and the number of days are in inverse proportion.

\frac{2}{x}=\frac{1}{3}

6 = x

Or x = 6 persons

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