Question

If 24 men require 15 days to do a piece of work, how long will it take 9 men working at the same rate to do it?

Answer 1

$\large\bold{\underline{\underline{{Question :-}}}}$

• If 24 men require 15 days to do a piece of work, how long will it take 9 men working at the same rate to do it?

$\large\bold{\underline{\underline{{Given :-}}}}$

• 24 men require 15 days to do a piece of work.

$\large\bold{\underline{\underline{{To\:Find :-}}}}$

• how long will it take 9 men working at the same rate to do it?

$\large\bold{\underline{\underline{{Solution :-}}}}$

$\pink{★}$24 men require 15 days to do a piece of work.

So,

$\purple{↬}$1 man can finish work = 15/24

$\blue{↬}$0.62 days

$\purple{↬}$9 men can finish work = (15/24) × 9 days.

$\blue{↬}$5.62 days

$\purple{↬}$0.62 days = 0.62 × 24 = 14 hours (approx)

$\pink{★}$So, 9 men will take 5 days and 14 hours to complete the work.