Question

50 people can complete a piece of work in 40 days in how many days can 100 people with twice efficiency complete the same work

Answer 1

50 people can complete in 40 days

as the number of worker increases the days required reduces

so it is the example of inverse variation

so product remains constant

K = 50 × 40

K = 200 × x

so

50 × 40 = 200 × x

x = 2000/200

x = 10

so 100 people can complete the same work in 10 days [ with twice efficiency ]

Answer 2

Heya ☺

Given that

Number of people who complete a piece of work in 40 days = 50

We have to find that in how many days can 100 people complete a piece of work.

Solution

If the number of workers increase so the number of working days will be decrease.

Hence , it is a case of inverse variation.

50 × 40 = 100x

=> 2,000 = 100x

=> x = 2,000/100

=> x = 20

Hence , in 200 days 100 people can complete the same work.




Thanks