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30 persons can do a piece of work in 24 days. How many more people are required to complete the work in 20 days?
1. 8
2. 5
3. 4
4. 6

1 Answer

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Correct Answer - Option 4 : 6

Given:

30 persons can do a piece of work in 24 days

Formula Used:

\(\frac{{m1.d1.t1.e1}}{{w1.c1}} = \frac{{m2.d2.c2.e2}}{{w2.c2}}\) ,

m = number of men required to complete the work

d = number of days required to complete the work

t = time used for work in a single day

e = efficiency of man

w = amount of work

c = consumption of a man 

Calculation:

\(\frac{{m1.d1.t1.e1}}{{w1.c1}} = \frac{{m2.d2.c2.e2}}{{w2.c2}}\)

Here we have compared only the number of men required

And the number of days required to complete the work

⇒  30 × 24 = m2 × 20

⇒ 36

∴ 6 more men will be required

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