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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)75
- b)50
- c)25
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
12 men can dig 8 meters long trench in a day. How many men should be e...
Let's solve the problem using the concept of direct proportion.
Given:
- 12 men can dig an 8-meter-long trench in one day.
- We need to find the number of men required to dig a 50-meter-long trench in one day.
Step 1: Establish the proportion
The number of men required is directly proportional to the length of the trench.
Let x be the number of men required to dig the 50-meter trench.
Men∝Length of trench
So,
Most Upvoted Answer
12 men can dig 8 meters long trench in a day. How many men should be e...
B-75
as it is direct variation
MEN. DISTANCE
12. 8m
?(x). 50
12:x::8:50(product of means=product of extremes)
12×50=x×8
12×50\8=x
=75men
as it is direct variation
MEN. DISTANCE
12. 8m
?(x). 50
12:x::8:50(product of means=product of extremes)
12×50=x×8
12×50\8=x
=75men
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12 men can dig 8 meters long trench in a day. How many men should be e...
To find out how many men should be employed for digging a 50-meter long trench in one day, we can use the concept of ratios and proportions.
Given:
- 12 men can dig an 8-meter long trench in a day.
Let's assume that x men can dig a 50-meter long trench in one day.
Using the concept of proportions, we can set up the following equation:
12 men / 8 meters = x men / 50 meters
Cross multiplying the equation, we get:
12 men * 50 meters = 8 meters * x men
Simplifying further, we have:
600 men-meters = 8x men-meters
Dividing both sides of the equation by 8, we get:
600 / 8 = x
x = 75
Therefore, 75 men should be employed for digging a 50-meter long trench in one day.
So, the correct answer is option A) 75 men.
Given:
- 12 men can dig an 8-meter long trench in a day.
Let's assume that x men can dig a 50-meter long trench in one day.
Using the concept of proportions, we can set up the following equation:
12 men / 8 meters = x men / 50 meters
Cross multiplying the equation, we get:
12 men * 50 meters = 8 meters * x men
Simplifying further, we have:
600 men-meters = 8x men-meters
Dividing both sides of the equation by 8, we get:
600 / 8 = x
x = 75
Therefore, 75 men should be employed for digging a 50-meter long trench in one day.
So, the correct answer is option A) 75 men.
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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)75b)50c)25d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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