Question

If 10 carpenters working 4hrs/day can make 320 chairs in 200 days, then the number of chairs made by 16 carpenters in 32 days each working 6 hrs/day will be?

Answer 1

Answer:

50 chair will made by 16 Carpenter in 32 days in 6hour

Answer 2

Answer:

The number of chairs made by 16 carpenters in 32 days each working 6 hours/day will be 122.

Step-by-step explanation:

Using the time-work problem logic, we can say:

Time taken by 10 carpenters for making 320 chairs (in hrs.):

$200\times4=800$                                                                

Time taken by 1 carpenter for making 1 chair will be (in hrs.):

$\frac{800\times10}{320}=25$                                                                    ...(i)

Now, let the number of chairs made by 16 carpenters in 32 days each working 6 hours/day be $x$ ,

Similarly as above, we can say that:

Time taken by 16 carpenters to make $x$ chairs (in hrs.):

$32\times6=192$

Time taken by 1 carpenter to make 1 chair will be (in hrs.):

$\frac{192\times16}{x}=\frac{3072}{x}$                                                                  ...(ii)

Equating (i) and (ii), we get:

$25=\frac{3072}{x}$

$x=\frac{3072}{25}$

$x=122.88$

Or we can say that the number of chairs completely made by 16 carpenters in 32 days each working for 6 hours/day will be 122.