30 persons can reap a field in 17 days. How many more persons should be engaged to reap the same field in 10 days?

Solution:

No. of persons         No. of Days required to reap the field

30                                                  17

x = ?                                              10

It is obvious that more people can reap the field in less time, and it is an inverse variation.

x = 30 × (17/10)

x = 3 × 17

x = 51 persons

Hence 51 persons will reap the field in 10 days. Therefore 34 more people should be engaged to finish the job in 10 days.

✦ Try This: 50 persons can reap a field in 18 days. How many more persons should be engaged to reap the same field in 12 days?

No. of persons         No. of Days required to reap the field

50                                                    18

x = ?                                                12

It is obvious that more people can reap the field in less time.

x = 50 × (18/12)

x = 25 × 3

x = 75 persons

Hence 75 persons will reap the field in 12 days. Therefore 25 more persons should be engaged to finish the job in 10 days.

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

NCERT Exemplar Class 8 Maths Chapter 10 Problem 88

30 persons can reap a field in 17 days. How many more persons should be engaged to reap the same field in 10 days

Summary:

30 persons can reap a field in 17 days. 34 more persons should be engaged to reap the same field in 10 days

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