Attempt this QOTD of Time and Work

Question of The Day10-05-2021

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?

Answer

Correct Answer : a ) 32

Explanation :

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.

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Shell

Noun: A hard rigid usually large covering of an animal.; The outside part of a fruit or seed.; Something like an external structure that resembles a shell.; A casing without substance.; The hard exterior of an egg.; A hard enclosing cover.