Twenty men can finish a piece of work in 30 days. After how many days should 5 men leave the work so that it may be finished in 35 days?

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Satt Academy · Accepted Answer

প্রশ্নে বলা হচ্ছে যে, 20 জন লোক একটি কাজ 30 দিনে শেষ করতে পারে। প্রশ্ন হল কত দিন পরে 5 জন লোক চলে গেলে কাজটি 35 দিনে শেষ হবে?

Total work=20 x 30 = 600 days

That means if single worker worked on it, it would take him 600 days to finish the work. Let x be the number of days after which 5 workers leave.

Now if 20 workers work for x days

And then 5 leave, so now 15 workers work for the rest (35-x) days to finish the work.

So equation should be

Total work done by 20 workers in 30 days = total work done by 20 workers for x days and 15 workers for (35-x) days.

This means, $20 \times 30 = (20 \times x) + 15 \times (35 - x) s o, (x - 20) + 15 \times (35 - x) = 600 \Rightarrow 20 x + 525 - 15 x = 600 \Rightarrow 5 x = 75 ∴ x = 15 d a y s$

ans. 5 workers must leave after 15 days for the project to complete it 35 days.

20×30=20×x+15×35-x so, x-20+15×35-x=600 ⇒20x+525-15x=600 ⇒5x=75 ∴x=15 days  ans. 5 workers must leave after 15 days for the project to complete it 35 days.

Twenty men can finish a piece of work in 30 days. After how many days should 5 men leave the work so that it may be finished in 35 days?

Question: Twenty men can finish a piece of work in 30 days. After how many days should 5 men leave the work so that it may be finished in 35 days?

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