Question

A certain number of men can complete a piece of work in 90 days. If however there were 15 men less, it would take 10 days more for the same work to be completed. How many men were there originally?

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Answer 1

Answer:

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Step-by-step explanation:

Statement of the given problem,

A certain number of men could complete a piece of work in 90 days. If there were 8 men less, it would take 10 days more. How many men were there originally?

Basic assumptions,

Let W denotes the whole given work.

Let N denotes the original number of men, who can complete the work W in 90 days.

Hence from above data we get following relation,

W/(N*90) = W/[(N - 8)*(90 + 10)] [= constant = amount of work done by 1 man in 1 day]

or (N - 8)*(90 + 10) = N*90 or 10*N = 800 or N = 80 [Ans]

Answer 2

Step-by-step explanation:

Statement of the given problem,

A certain number of men could complete a piece of work in 90 days. If there were 8 men less, it would take 10 days more. How many men were there originally?

Basic assumptions,

Let W denotes the whole given work.

Let N denotes the original number of men, who can complete the work W in 90 days.

Hence from above data we get following relation,

W/(N*90) = W/[(N - 8)*(90 + 10)] [= constant = amount of work done by 1 man in 1 day]

or (N - 8)*(90 + 10) = N*90 or 10*N = 800 or N = 80 [Ans]