Question

24 men working at 8 hours per day can do a piece of work in 15 days. In how many days
can 20 men working at 9 hours per day do the same work ?
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Answer 1

Answer:

16 days

Step-by-step explanation:

let the part of work done by 1 man in 1 hour be M

now part of work done by 1 man in 8 hours= 8M

part of work done by 24 men in 8hours in 1 day = 192 M

1 complete work is done by 24 men in 8 hours in 15 days= 192M *15= 2880M

2880M = 1

M = 1/2880

this means 1 man can do 1/2880 part of work in 1 hour

now 20 men are doing 9 hours work in one day then we have to find no. of days

20 men working 9 hours a day complete = 20*9M

= 20"9/2880

= 1/16 part of work

therefore they will take 16 days to complete 1 work.