Question

27. Two persons working 2 hours a day assemble 2 machines in 2 days. The number of
machines assembled by 6 persons working 6 hours a day in 6 days is
a) 6
b) 18
c) 27
d) 54​

Answer 1

Answer: (a) The number of

machines assembled by 6 persons working 6 hours a day in 6 days is 6

Answer 2

Answer:

6 person working 6 hours a day assembles '54' machines in 6 days .

Step-by-step explanation:

Given as :

2 person working 2 hours a day assemble 2 machine in 2 days

Again

6 person working 6 hours a day assembles 'm' machines in 6 days

According to question

$\dfrac{men\times days}{work}$  = constant

So, $\dfrac{m_1\times d_1}{w_1}$  =  $\dfrac{m_2\times d_2}{w_2}$

or, $\dfrac{2\times 2\times 2}{2}$ = $\dfrac{6\times 6\times 6}{w_2}$

Or, $\dfrac{8}{2}$ = $\dfrac{216}{w_2}$

Or, 4 = $\dfrac{216}{w_2}$

∴  $w_2$  = $\dfrac{216}{4}$

i.e $w_2$ = 54

So, The number of machines =  $w_2$ = 54

Hence, 6 person working 6 hours a day assembles '54' machines in 6 days . Answer