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(#M40164072) ELITMUS Numerical Ability question Keep an EYE

a man and a women and a boy can complete a work in 20,30 and 60 days respect.how many boysmust assist 2 men and 8 women so as to complete the work in 2 days?

Asked In Elitmus Sniper (7 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

shravya  (7 years ago)

2((2/20)+(8/30)+(x/60))=1
1+(8/3)+(x/6)=5
solving, we get x=8

Is this solution Helpfull? Yes (5) | No   

Ardhendu Nandi  (7 years ago)

1 man can do 100% work in 20 days.
so in 1 day 1 man can do 5% work ,

1 woman can do 100% work in 30 days,
so in 1 day 1 woman can do 3.33% work.

1 boy can do 100% work in 60 days,
so in 1 day 1 boy can do 1.66% work

so in 1 day 2 man can do 10% work.
so in 2 day 2 man can d0 20% work

so in 1 day 8 woman can do 3.33%*8 = 26.64% work.
so in 2 day 2 woman can do 53.28% work

so in 2 days 2man and 8 woman done 73.28% work
left work 26.72%

so per day should completed 26.72%/2 = 13.36%
as we know 1 boy can do 1.66% work in a day
so to complete 13.36% work in a day there should be 13.36/1.66 = 8 boy needed
so 8 boy can do 26.72% work in 2 days

so 8 boys requried to assist 2 men and 8 women to complete the work in 2 days.

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Adil khan  (7 years ago)

lets assume total work 60 unit. ( we take 60 because its the lcm of 20,30,60)
so a man take 20 days so he is doing 3 unit per day.
women 30 days so 2 unit per days
boy 60 days so 1 unit per days
completing 60 unit in two days means 30 unit per day
so 2men*3unit+8 women*2unit=22 unit required 30 unit
so 30-22= 8 unit we know
1 boy 1 unit so 8 boys required.

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