60 men could complete a piece of work in 250 days. They worked together for 200 days. After that the work had to be stopped for 10 day to bad weather. How many more men should be engaged to complete the work in time? (Work & Time)

Shohan

6 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে যে, 60 জন লোক একটি কাজ 250 দিনে শেষ করতে পারে। তারা একত্রে 200 দিন কাজ করলো। এরপর খারাপ আবহাওয়ার কারণে 10 দিন কাজটি বন্ধ থাকলো। সময়মতো অর্থাৎ 250 দিনের মধ্যেই কাজটি শেষ করতে অতিরিক্ত কতজন লোক নিয়োগ দিতে হবে?

Remaining days = 250-200-10=250-210=40 days

Let, x number of men is needed to complete the work in time

Now, $(60 \times 200) + (60 + x) \times 40 = 60 \times 250$

$\Rightarrow 12, 000 + 2, 400 + 40 x = 15, 000$

$\Rightarrow 40 x = 15, 000 - 12, 000 - 2, 400 = 15, 000 - 14, 400 = 600$

$∴ x = \frac{600}{40} = 15$

15 more men are needed to complete the work in time. (answer)

6 views Answered 2024-12-14 13:31

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