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Two persons could fit new windows in house in 3 days. One of the persons fell ill before the work started. How long would the job take now? - Mathematics

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Question

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

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

Sum

Solution

Let the number of days required by 1 man to fit all the windows be x. The following table is obtained.

Number of persons 2 1
Number of days 3 x

Lesser the number of persons, more will be the number of days required to fit all the windows. Hence, this is a case of inverse proportion.

Therefore,

2 × 3 = 1 × x

x = 6

Hence, the number of days taken by 1 man to fit all the windows is 6.

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Chapter 13: Direct and Inverse Proportions - Exercise 13.2 [Page 214]

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NCERT Mathematics [English] Class 8
Chapter 13 Direct and Inverse Proportions
Exercise 13.2 | Q 10 | Page 214

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