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

Hina can complete the work in 120 days which is not in the given option

Step-by-step explanation:

We have given efficiency of Kanchan is 4 times as that of Hina

Let the work done by Hina in one day is 1

Then work done by Kanchan in 1 day = 4

So total work done by both in one day = 4+1 = 5 work

As they can together complete the work in 24 days

So total work = 24×5 = 120 work

As in one day Hina does 1 work

So time taken by Hina to complete 120 work $=\frac{120}{1}$ = 120 days

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A and B together can complete a job in 35 days. While A alone can complete it in 60 days. B

alone can complete the job in:

(a) 42 days

(b) 96 days

(c) 72 days

(d) 84 days.

https://brainly.in/question/12061983

Answer 2

Hena will complete the work alone in 96 days.

Step-by-step explanation:

If Kanchan takes x days to complete the work, the Hena takes 3x days to complete the same work.

So, Kanchan takes 1 day to complete $\frac{1}{x}$ part of the work.

And Hena takes 1 day to complete $\frac{1}{3x}$ part of the work.

So, together they will complete $(\frac{1}{x} + \frac{1}{3x})$ part of the work in one day.

If they will complete the work is 24  days by working together, then we can write the equation

$\frac{1}{x} + \frac{1}{3x} = \frac{1}{24}$

⇒ 1.33 = 0.04167x

⇒ x = 32 days.

So, 3x = 96 days.

Therefore, Hena will complete the work alone in 96 days. (Answer)