Math, asked by pavankumar13362, 7 months ago

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hakur called Jai and Viru to Ramgarh for some work. Jal and Viru can do the work in 30 days, Viru and
asanti can do the work together in 50 days. Also, Jai and Basanti together can do the work in 40 days. In
How many days will they finish the work, if Jal, Viru, and Basanti work together?
600 / 47 days
400 / 47 days
14.5 days
17.5 days​

Answers

Answered by swethassynergy
1

Correct Question

Thakur called Jai and Viru to Ramgarh for some work. Jai and Viru can do the work in 30 days, Viru and Basanti can do the work together in 50 days. Also, Jai and Basanti together can do the work in 40 days. In

How many days will they finish the work, if Jal, Viru, and Basanti work together?

\frac{1200}{47} days

\frac{400}{47} days

14.5 days

17.5 days​

Answer:

The number of days Jal, Viru, and Basanti work together can finish the work is  \frac{1200}{47} days.

Step-by-step explanation:

Given:

Jai and Viru can do the work in 30 days.

Viru and Basanti can do the work together in 50 days.

Jai and Basanti together can do the work in 40 days.

To Find:

The number of days Jal, Viru, and Basanti work together can finish the work.

Solution:

As given, Jai and Viru can do the work in 30 days.

(Jai + Viru)'s  1 day's work =\frac{1}{30}.  ----- equation no.01.

As given,Viru and Basanti can do the work together in 50 days.

(Viru + Basanti )'s  1 day's work =\frac{1}{50}.  ----- equation no.02.

As given,Jai and Basanti together can do the work in 40 days.

(Jai + Basanti )'s  1 day's work =\frac{1}{40}   ------ equation no.03.

Adding equation no.01,equation no.2 and equation no.03, we get.

2(Jai +Viru+ Basanti )'s  1 day's work =\frac{1}{30} +\frac{1}{50} +\frac{1}{40}  

                                                            =\frac{20+12+15}{600}

                                                            =\frac{47}{600}

(Jai +Viru+ Basanti )'s  1 day's work =\frac{47}{1200}

Thus,the number of days Jal, Viru, and Basanti work together can finish the work is  \frac{1200}{47} days.

#SPJ3

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