Solve the following mathematical problems.

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?

Created: 2 months ago | Updated: 1 month ago
Job Solution Bangladesh Krishi Bank Bangladesh Krishi Bank Ltd. Recruitment Test For Senior Officer -2017 Examination Held On: 20.01.2017 || 2017 গণিত
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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, 20×30=20×x+15×35-xso, 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. 

2 months ago
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