A worker can construct a house alone in 150 days, working 8 hours a day. A builder wants to construct the building of such 12 houses, so he hired a team of workers who works 10 hours a day and 6 days a week. The work starts on Monday and ends in 52 days. How many workers are there in the team?
Correct Answer : a ) 32Explanation :
According to the question
Let the number of workers in the team be x
Let the efficiency of the worker be 1 unit/hr
A worker can construct a house alone in 150 days, working 8 hrs a day.
A builder wants to construct the building of such 12 houses, so he hired a Team of workers, who works 10 hrs a day and 6 days a week
Work is completed in 52 days
There are 7 weeks in 52 days
⇒ Working days = 7 * 6 + 3 days
⇒ 42 + 3 = 45 days
By using MHD formula
Where M is the number of Man, D is the number of days, h is the number of hours.
Substituting the values
⇒ x = 32
Thus, there were 32 workers in the team.
Hence, (a) is the correct answer.