Question

10 men working for 6 days can complete 5 copies of a book if there are 8 men working to complete 4 copies of the book how many days will it take

Answer 1

6 Days

Explanation:

Practically:

It takes,

10 Men ( complete ) 5 Copies --> 6 Days

So, 2 Men can complete 1 copy in 6 days.

Question asks us :

8 Men ( complete ) 4 Copies --> X Days

It will take 6 days because the proportion of men to copies is same as the first equation.

Theoretically:

10 Men 5 Copies 6 Days

8 Men 4 Copies X Days

> 6/X = 8/10 ( If men decrease the number of days increase. So, it is an indirect proportion. ) . 5/4 ( If copies decrease the number of days decrease as well. So, it is a direct proportion. )

> 6/X = 8/10 . 5/4

> 6/X = 40/40

> 6/X = 1

> X=6

I hope it will be understood.

If I have any inaccuracies please let me know.

Have a nice day and never stop questioning!

Answer 2

The number of days required for 8 men working to complete 4 copies of the books is 6 days

Explanation:

Given As

The number of men (M1) = 10

The number of working days (D1) = 6 days

The work done (W1) = 5 copies

Again,

The number of men (M2) = 8

The number of working days (D2) = D2 days

The work done (W2) = 4 copies

∵
`(Men* Day)/(Work)` = constant

So ,
`(M1* D1)/(W1) = (M2* D2)/(W2)`

or,
`(10* 6)/(5) = (8* D2)/(4)`

Or,
`(60)/(5)` =
`(8* D2)/(4)`

Or, D2 =
`(12* 4)/(8)`

∴ D2 = 6 days

Hence The number of days required for 8 men working to complete 4 copies of the books is 6 days Answer