Question

20 labourers can dig a pond in 12 days. How many days will it take 16 labourers to dig the same pond?

Answer 1

hiii!!!

here's ur answer...

it is in inverse proportion as the no. of labour will increase, the no. of days will decrease. and if the no. of days will increase the no. of labours will decrease.

we know that x1y1 = x2y2

==> 20 × 12 = 16 × y²

==> 240 = 16 × y2

==> y2 = 240/16

==> y2 = 15

hence, 16 labours will take 15 days to dig the pond.

hope this helps u..!!

Answer 2

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Let the number of days take by 16 labourers to dig the same pond be x

Given that number of days taken by 20 labour to dig a pond = 12

therefore, work done by 20 labour in 12 days = work done by 16 labour in x days

$\implies20 \times 12 = 16 \times x$

$\implies \: x = \frac{20 \times 12}{16} = 15$

Hence, 16 labour will dig the same pond in 15 days.