A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?

Solution:

No. of Persons in the Team Time taken to complete part of the stadium

560 9 months

x = ? 5 months

To complete the job in less time implies that more persons have to be employed. It is an inverse variation.

Therefore:

x = 560 × (9/5)

x = 112 × 9

x = 1008

Therefore 1008 persons will be required to complete the job in 5 months. Therefore additional persons required to do the job will be:

No. of additional persons required = 1008 - 560 = 448

✦ Try This: A contractor undertook a contract to complete a part of a stadium in 12 months with a team of 512 persons. If 256 more people join then how fast will the job be completed?

No. of Persons in the Team Time taken to complete part of the stadium

512 12 months

768 x = ?

To complete the job in less time implies that more persons have to be employed. Therefore:

x = 12 × (512/768)

x = 12 × (2/3)

x = 8 months

Therefore 768 persons will complete the job in 8 months which is 4 months less than the time taken earlier.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 68

A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work

Summary:

A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. 448 extra persons should be employed to complete the work in 5 months

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