Question

20 জন একটি কাজ 8 দিন করে। 10 জন ওই কাজটির 1/2 অংশ করবে- (a) 32 দিনে (b) 8 দিনে (c) 10 দিনে (d) 2 দিনে।​

Answer 1

Answer:

ধরি,কাজটির পরিমাপ হলো= x

২০ জন x কাজ করবে ৮ দিনে

১ জন ১ কাজ করবে ৮/(x×২০) দিনে

১ জন x/২ কাজ করবে (৮×x/২)/(x×২০)=৮/(২×২০) দিনে

১০ জন x/২ কাজ করবে (৮×১০)/(২×২০)=২ দিনে

Answer 2

Given:

20 জন একটি কাজ 8 দিন করে। 10 জন ওই কাজটির 1/2 অংশ করবে- (a) 32 দিনে (b) 8 দিনে (c) 10 দিনে (d) 2 দিনে।​

20 people do a job 8 days. 10 people will do 1/2 part of that work- (a) 32 days (b) 8 days (c) 10 days (d) 2 days.

To find:

No. of days required by 10 people to do 1/2 part of that work

Solution:

To solve the given problem we will use the Man-Days-Work Theorem which is as follows:

$\boxed{\bold{\frac{M_1 \times D_1}{W_1} =\frac{M_2\times D_2}{W_2} }}$

where M₁ & M₂ = no. of men, D₁ & D₂ = no. of days and W₁ & W₂ = amount of work done

Here we have,

M₁ = 20 people

D₁ = 8 days

W₁ = 1 unit of work

M₂ = 10 people

D₂ = need to find

W₂ = $\frac{1}{2}$ unit of work

Using the above theorem, we get

$\frac{20 \times 8}{1} =\frac{10\times D_2}{\frac{1}{2} } }}$

$\implies D_ 2 = \frac{20 \times 8\times \frac{1}{2} }{10}$

$\implies D_ 2 = 2 \times 8\times \frac{1}{2}$

$\implies \bold{D_ 2 = 8\: days}$ ← option (b)

Thus, 10 people will do 1/2 part of that work in → 8 days.

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540 man-days of work can be completed by a certain number of men in some days. If the numbers of people (men) are increased by 27. then the number of days required to complete the same work is decreased by 15. The number of days is required to complete the three times work (than the previous/actual work) 67 27 men?

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8 Women and 12 men can complete work in 10 days while 6 women and 8 men can complete the same work in 14 days. Find the time taken by one woman alone and that one man alone to finish the work. What value is indicated from this action?

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