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12 men can dig 8 meters long trench in a day. How many men should be employed for digging 50 meter long trench of the same type in one day?
- a)50
- b)75
- c)25
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
12 men can dig 8 meters long trench in a day. How many men should be e...
This is a question of direct proportion as with increase in depth of digging the number of men will increase
So, in direct proportion the constant value is given by X/ Y
12/8 = a/50 (where a is the number of men to be employed)
12 X 50 = 8 X a
600 = 8 X a
600/ 8 = a
75 men = a
So, in direct proportion the constant value is given by X/ Y
12/8 = a/50 (where a is the number of men to be employed)
12 X 50 = 8 X a
600 = 8 X a
600/ 8 = a
75 men = a
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12 men can dig 8 meters long trench in a day. How many men should be e...
To find the number of men required to dig a 50-meter long trench in one day, we can use the concept of direct variation. Direct variation states that if two quantities are directly proportional, then their ratio remains constant.
- Let's assume that the number of men required to dig a trench is directly proportional to the length of the trench.
- Given that 12 men can dig an 8-meter long trench in one day, we can set up a proportion to find the number of men required for a 50-meter long trench.
- The proportion can be set up as follows:
12 men / 8 meters = x men / 50 meters
- Cross-multiplying the above proportion, we get:
8x = 12 * 50
- Solving for x, we find:
x = (12 * 50) / 8
x = 600 / 8
x = 75
Therefore, 75 men should be employed to dig a 50-meter long trench in one day.
Hence, the correct answer is option B) 75.
- Let's assume that the number of men required to dig a trench is directly proportional to the length of the trench.
- Given that 12 men can dig an 8-meter long trench in one day, we can set up a proportion to find the number of men required for a 50-meter long trench.
- The proportion can be set up as follows:
12 men / 8 meters = x men / 50 meters
- Cross-multiplying the above proportion, we get:
8x = 12 * 50
- Solving for x, we find:
x = (12 * 50) / 8
x = 600 / 8
x = 75
Therefore, 75 men should be employed to dig a 50-meter long trench in one day.
Hence, the correct answer is option B) 75.
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12 men can dig 8 meters long trench in a day. How many men should be employed for digging 50 meter long trench of the same type in one day?a)50b)75c)25d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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