Question

Efficiency of Kanchan is four times to that of
Hina. If they will complete the work is 24
days by working together, then in how many
days can Hina alone complete the work ?
(a) 36 days
(b) 24 days
(c) 144 days
(d) 96 days​

​

Answer 1

Answer:

Hins takes 96 days to complete work alone

Answer 2

Hina can complete the work in 120 days.

Step-by-step explanation:

Efficiency of Kanchan is four times to that of Hina.

That means if Kanchan will complete a work in one day then Hina will complete the same work in four days.

So, ratio of efficiency of Kanchan to Hina = 1 : 4

Let Kanchan will complete a work in  x days.

Kanchan's 1 day work = $\frac{1}{x}$

Hina will complete a work in  4x days.

Hina's 1 day work = $\frac{1}{4x}$

They will complete the work in 24 days by working together.

So,

$\frac{1}{x} +\frac{1}{4x} = \frac{1}{24}$

=> $\frac{5}{4x}= \frac{1}{24}$

=> 4x = 24 x 5 = 120

=> x = $\frac{120}{4}$ = 30 days.

Kanchan can complete the work in 30 days.

Hina can complete the work in (4 x 30) = 120 days.

Hence, Hina can complete the work in 120 days.