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12 boys can dig a pitch in 12 hours. How long will 18 boys take to do it ?
  • a)
    8 hours
  • b)
    6 hours
  • c)
    9 hours
  • d)
    12 hours 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
12 boys can dig a pitch in 12 hours. How long will 18 boys take to do ...
12 boys can dig a pitch in 12 hours
∴ 1 boy can dig a pitch in 12 × 12 hours
Hence, 18 boys can dig a pitch in 
= 8 hours 
View all questions of this test
Most Upvoted Answer
12 boys can dig a pitch in 12 hours. How long will 18 boys take to do ...
Given:
- Number of boys = 12
- Time taken by 12 boys to dig a pitch = 12 hours

To find:
- Time taken by 18 boys to dig the same pitch

Assumption:
- The rate of work done by each boy is the same.

Solution:
To solve this problem, we can use the concept of "man-hours". Man-hours represent the total amount of work done by a group of people in a given time period.

Let's calculate the man-hours required to dig the pitch by 12 boys in 12 hours:
Man-hours = Number of boys × Time taken
Man-hours = 12 × 12
Man-hours = 144

Now, let's calculate the time taken by 18 boys to dig the same pitch:
Time taken = Man-hours / Number of boys
Time taken = 144 / 18
Time taken = 8

Therefore, 18 boys will take 8 hours to dig the pitch.

Answer:
The correct option is (a) 8 hours.
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