İşçi Problemi

MathematicsProportion and Work ProblemsMedium

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27. Müəyyən bir işi 7 nəfər 20 gün ərzində yerinə yetirir. Dörd gün işlədikdən sonra onlara həmin məhsuldarlıqla işləyən 9 nəfər qoşuldu. Bu işi görmək üçün cəmi neçə gün sərf olundu?

a) 9 b) 10 c) 11 d) 12 e) 13

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1
Step 1

Hi Rahil, let's solve this problem together. We are told that 7 people can complete a certain job in 20 days. Four days later, 9 more people join the group. We need to find the total time spent to complete the job.

Məsələnin Həlli

2
Step 2

Initially, the job is meant to be done by 7 people in 20 days. Let's define the total work in terms of man-days.

$$7 \times 20 = 140 \text{ adam-gün}$$
3
Step 3

These 7 people work for 4 days first. Let's calculate how much work they completed during this time.

$$7 \times 4 = 28 \text{ adam-gün}$$
4
Step 4

Now, we subtract the completed work from the total work to see what is left.

$$140 - 28 = 112 \text{ adam-gün}$$
5
Step 5

So we have 112 man-days of work remaining. At this point, 9 more people join the original 7.

Qalan iş və yeni işçi sayı

$$7 + 9 = 16 \text{ nəfər}$$

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About This Question

Subject
Mathematics
Topic
Proportion and Work Problems
Difficulty
Medium
Question Type
Multiple Choice

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