Latest Exam Aptitude Question SOLUTION: 18 men can do a work in 16 days.AFTER 3 DAYS 5 MEN LEFT. HOW MANY DAYS IT WILL TAKE TO GET THE REMAINING WORK DONE?

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(#M40084745) EXAM Category question Keep an EYE

18 men can do a work in 16 days.AFTER 3 DAYS 5 MEN LEFT. HOW MANY DAYS IT WILL TAKE TO GET THE REMAINING WORK DONE?

Asked In Exam Meghna Pal (9 years ago)

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Vinay Sipani   (9 years ago)

21 days

18 men ---> 1 work 1 man ---> 1/18th work 1 man ----> 1/(18*16) 5 men -----> 5*3/(18*16) work After 5 days, 15/(288) work is completed
=> 273/288 work is remaining

Now out of 18 men, 13 men are working
Let 13 men take x days to complete remaining work

=> 13*x / (16*18) = 273/288
=> x = 21 days

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Shushmit Yadav  (9 years ago)

18 days


18 men 16 days -------> 1 work
18 men 1 day = 1/16 work
hence, 18 men in 3 days can do = 3/16 work
After 3 days 5 men left the work,then remaining work = 1-(3/16)
= 13/16 work
let 13 men out of 18 can do remaining work in x days.
hence, 13 * x / (18 * 16) = 13/16
= 18 days

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