Question

20 men were employed to do some work in a certain time.But when 1/3rd of the scheduled time was over,it was found that only 1/4th work was completed.How many more men employed to completed the work in 3/4th of the originally scheduled time?
a.28
b.20
c.48
d.40

Answer 1

Answer:

Step-by-step explanation:

Remaining Work =1-1/4=3/4

Remaining tym =3/4-1/3=5/12

(20*1/3)/(1/4) =(X*5/12)/3/4)

X=48

Extra=(48-20)=28 men

Answer 2

Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Part of time over = $\dfrac{1}{3}$

Part of work completed = $\dfrac{1}{4}$

Remaining part of work = $1-\dfrac{1}{4}=\dfrac{4-1}{4}=\dfrac{3}{4}$

So, remaining work in remaining time is given by

$\dfrac{3}{4}-\dfrac{1}{3}\\\\=\dfrac{9-4}{12}\\\\=\dfrac{5}{12}$

According to question, it becomes,

$\dfrac{20\times \dfrac{1}{3}}{\dfrac{1}{4}}=\dfrac{x\times \dfrac{5}{12}}{\dfrac{3}{4}}}\\\\20=x\times \dfrac{5}{12}\\\\12\times 4=x\\\\48=x$

Number of more men would be

$48-20=28\ men$

Hence, Option 'a' is correct.

# learn more:

6. 40 men are employed to finish a work in 48 days. but it is found that in 24 days only 1/4 work is done. how many more men are required in order to finish the work in time? (a) 24 men (b) 16 men (c) 22 men (d) 20 men

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