Latest Others Aptitude Question SOLUTION: A does 3/4 of a piece of work in 24 days .He can calls in B and both of them together complete the remaining work in 4 days . How long would B alone take to do the entire work ?

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A does 3/4 of a piece of work in 24 days .He can calls in B and both of them together complete the remaining work in 4 days . How long would B alone take to do the entire work ?

Asked In Others thanu (10 years ago)

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Saraswathy  (10 years ago)

A does 3/4 work
3/4 work in--> 24 days
1 work in --> x days
x = 4/3 * 24 => x=32 days
A ll complete the whole work in 32 days
Then A's 1 day work = 1/32

Remaining work left = 1-3/4 => 1/4
A+B finish 1/4 work in --> 4 days
A+B finish 1 work in --> x days
x = 4*4 = 16 days
A+B ll finish the whole work in 16 days
Then A+B's 1 day work = 1/16

Therefore B's 1 day work = (A+B)'s 1 day work - A's 1 day work
=> 1/16 - 1/32 => 16/512 = 1/32
So B ll finish the work alone in 32 days

Ans : 32 days

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seema chauhan  (10 years ago)

32 days
A takes 32 days for entire work
a&b do 1/4 work in 4 days so they complete work in 16 days
so
1/32+1/B=1/16
so B=32 days

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