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A certain number of workers can finish a piece of work in 70 days. If there are 20 men less, it would take 10 days more for the same work to be finished. How many workers were there in starting?
- a)150
- b)160
- c)140
- d)152
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A certain number of workers can finish a piece of work in 70 days. If ...
Let the no. of workers in starting be x.
∴ 70 × x = (x – 20) 80
⇒ 70 x = 80x – 20 × 80
⇒ 10x = 20 × 80
⇒
∴ 70 × x = (x – 20) 80
⇒ 70 x = 80x – 20 × 80
⇒ 10x = 20 × 80
⇒
Most Upvoted Answer
A certain number of workers can finish a piece of work in 70 days. If ...
Given:
- A certain number of workers can finish a piece of work in 70 days.
- If there are 20 men less, it would take 10 days more for the same work to be finished.
To Find: How many workers were there in starting?
Solution:
Let's assume the number of workers in starting as 'x'.
From the given information, we can form two equations:
Equation 1:
- Number of workers * Time taken = Work done
- x * 70 = Work done
Equation 2:
- (x-20) * 80 = Work done
- [(x-20) * 70] + [(x-20) * 10] = Work done
Solving these equations:
- x * 70 = [(x-20) * 70] + [(x-20) * 10]
- x * 70 = (x-20) * 80
- 70x = 80x - 1600
- 10x = 1600
- x = 160
Therefore, there were 160 workers in starting.
Answer: Option B.
- A certain number of workers can finish a piece of work in 70 days.
- If there are 20 men less, it would take 10 days more for the same work to be finished.
To Find: How many workers were there in starting?
Solution:
Let's assume the number of workers in starting as 'x'.
From the given information, we can form two equations:
Equation 1:
- Number of workers * Time taken = Work done
- x * 70 = Work done
Equation 2:
- (x-20) * 80 = Work done
- [(x-20) * 70] + [(x-20) * 10] = Work done
Solving these equations:
- x * 70 = [(x-20) * 70] + [(x-20) * 10]
- x * 70 = (x-20) * 80
- 70x = 80x - 1600
- 10x = 1600
- x = 160
Therefore, there were 160 workers in starting.
Answer: Option B.
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A certain number of workers can finish a piece of work in 70 days. If there are 20 men less, it would take 10 days more for the same work to be finished. How many workers were there in starting?a)150b)160c)140d)152Correct answer is option 'B'. Can you explain this answer?
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