Math, asked by rohitpitti7843, 1 year ago

Monika is twice as good as sonika and together they complete a piece of work in 20 days. In how many days will monika alone will finish the work?

Answers

Answered by MavisRee
14

Answer

Monica alone will finish it in 30 days

Step-by-step explanation:

Let us suppose Sonika takes ' x ' days to complete the work

So,

Sonika's one day work = 1 / x

According to question,

Time taken by Monika to complete the work = ' 2x '

{ As it is given, Monika is twice as good as sonika }

Monika's one day work = 1 / 2x

Together they do 1 / x + 1 / 2x = ( 2+ 1 ) / 2x = 3 / 2x work in the same time

So the time taken to complete the work is 2 x / 3

It is given that,

They complete the work in 20 days, that is ,

2x / 3 = 20

2x = 20 * 3

2x = 60

Dividing both sides by 2 ,

2x / 2 = 60 / 2

x = 30

Hence,

Monica alone will finish it in 30 days

Answered by sai6560
2

Answer:

m = 2

s = 1

3*20=60

Monika=60/2=30days

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