Question

16 men working 8 hours a day can build a shed in 30 days in how many days can 120 men working for 6 hours a day to the same work​

Answer 1

16 men

1 man works for:

(8hours/day) × 30 days = 240 hours

16 men works for 1 month

then, Total amount of work in 30 days, by 16 people=

(240×16) hours = 3840 hours

120 men

let number of days be "y".

(6 hours/day) × y days = 6y hours

120 men works for "y" days

Then, Total amount of work in "y" days, by 120 people=

(120 × 6y) hours

which is equal to 3840 hours.

So, 120 × 6y = 3840

y = 3840/(120×6)

y = 16/3 days ,or,

y = (3 + 1/3) days ,or,

y = 3 days +8 hours