A group of workers can do a piece of work in 24 days. However, as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it? (একদল শ্রমিক 24 দিনে একটি কাজ করতে পারেন। তবে, তাদের মধ্যে 7 জন অনুপস্থিত থাকায় কাজটি শেষ করতে 30 দিন সময় লেগেছিল। কতজন লোক আসলে কাজটি শেষ করার জন্য কাজ করেছিল?)
Solution
Correct Answer: Option C
Let, the workers can do in 24 days is = x
So, x workers need = 24 days
1 " " = 24x "
x-7 " " = 24x / (x - 7) days
According to the question:
24x / x - 7 = 30
or, 24x = 30x - 210
or, -6x = -210
x = 35
Workers actually worked = 35 - 7 = 28
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