Question

If 17 labourers can dig a ditch 20 m long in 18 days, working 8 hours a day, how many
more labourers should be engaged to dig a similar ditch 39 m long in 6 days, each
labourer working 9 hours a day?​

Answer 1

Answer:

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Answer 2

There will be $88-17=71$ labourers should be engaged.

Step-by-step explanation:

Since we have given that

If 17 labourers can dig a ditch 20 m long in 18 days, working 8 hours a day,

If dig a similar ditch 39 m long in 6 days, each  labourer working 9 hours a day.

According to question, we get that

$\dfrac{17\times 18\times 8}{20}=\dfrac{x\times 6\times 9}{39}\\\\\dfrac{2448}{20}=\dfrac{54x}{39}\\\\\dfrac{2448\times 39}{54\times 20}=x\\\\88.4=x$

So, there will be $88-17=71$ labourers should be engaged.

# learn more:

4 labourers can dig 20 m in 6 days .what portion will 2 labourers dig in 1 day​

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