Question

If 12 labourers take 70 days to complete one work ,how many days will 21 labourers take to complete the same work? *​

Answer 1

Answer:

122.5 days

Step-by-step explanation:

Given that, 12 labourers take 70 days to complete one work.

To find, No. of days 21 Labourers will take to complete the work.

If 12 Labourers take 70 days to complete one work, 1 labourer will take 70/12 days to complete the work.

We need to find the no. of days 21 Labourers would take to complete the same work.

So, 21 Labourers would take (70/12)×21 days to complete the work.

$\implies \sf \dfrac{70}{12} \times 21$

$\implies \sf \dfrac{1470}{12}$ = 122.5 days.

Answer 2

Required solution -

Let's understand the concept first - This question says that we have to find out that in how many days will 21 labourers take to complete the same work that 12 labourers take 70 days to complete one work. Let's do this question!

Given that -

• 12 labourers take 70 days to complete one work.

To find -

• In how many days will 21 labourers take to complete the same work.

Solution -

• In 122.5 days will 21 labourers take to complete the same work.

Full solution -

»»» 12 labourers take 70 days to complete one work.

»»» 1 labourer take = 70/12 = 35/6 days to complete the work.

»»» 21 labourer take the given days to complete their work =

${\sf{:\implies \dfrac{35}{6} \times 21}}$

${\sf{:\implies \dfrac{35}{2} \times 7}}$

${\sf{:\implies \dfrac{245}{2}}}$

${\sf{:\implies 122.5 \: days}}$

${\sf{\pmb{Henceforth, \: 21 \: labourers \: take \: 122.5 \: days \: to \: complete\: the \: same \: work}}}$