Question

work efficiency of anuja is three times that of babita and anuja is able to complete a piece of work in 120 days in how many days can they together complete the work?​

Answer 1

Answer:

Step-by-step explanation:

According to the question,

Anuja can do a work 3 times faster than Babita.

If Babita can do it in 120 days, Anuja can do it in 120 ÷ 3

days = 40 days.

If Someone is doing some work in a particular time and some else is doing it at some other time,

Then formula is → Inverse both the times and add and inverse again the answer.

Here, Anuja does work in 40 days and Babita in 120 days.

So, both can do together in? days = 40⇅ + 120⇅ = x⇅

⇒ $\frac{1}{40}$ + $\frac{1}{120}$ = x⇵

⇒ $\frac{3}{120}$ + $\frac{1}{120}$ = x⇅

⇒ $\frac{4}{120}$⇅

= $\frac{1}{30}$⇅

= 30 days

∵Both can do the work in 30 days.

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Answer 2

Given:

Work efficiency of Anuja = 3 rimes of Babita

Number of days in which Anuja can complete a piece of work = 120

To find:

The number of days in which both Anuja and Babita can complete the work.

Solution:

Number of days in which Babita can complete a piece of work = 120 × 3 = 360 days

Work that can be completed by both Anuja and Babita $=\frac{1}{120} + \frac{1}{360} = \frac{1}{90}$

Thus, the number of days in which the work can be completed will be 90 days.

Therefore, the number of days in which Anuja and Babita can complete the given work is 90 days.