If x can do a work in 3 day and y can do same work in 6day so if x and y can do same work in how much time

Answers 2

Answer:

2 days

Step-by-step explanation:

x take 3 days to complete 1 whole work

so in 1 day he will do

[tex] \frac{1}{3} [/tex]

y take 6 days to complete 1 whole work

so in 1 day y will do

[tex] \frac{1}{6} [/tex]

together they can do

[tex] \frac{1}{3} + \frac{1}{6} [/tex]

[tex] \frac{2 + 1}{6} [/tex]

[tex] \frac{3}{6} \\ \frac{1}{2} [/tex]

Total days

[tex] \frac{1}{ \frac{1}{2 \\ } } [/tex]

[tex]1 \times 2 = 2days[/tex]

Answer:

Let the total amount of work = 1 Part

Now, X can do,

In 3 days 1 part

In 1 day --

[tex](1 \div 3) \: part\\ = \frac{1}{3} \: part[/tex]

And, Y can do,

In 6 days 1 part

In 1 day --

[tex](1 \div 6) \: part \\ = \frac{1}{6} \: part[/tex]

If they work together they will do in a single day -

[tex]( \frac{1}{3} + \frac{1}{6} \: ) \: part\\ = ( \frac{2 + 1}{6} ) \: part \\ = \frac{3}{6} \: part \\ = \frac{1}{2} \: part[/tex]

According to our steps --

They together can do -

½ part in 1 day

Then, 1 part in --

[tex](1 \div \frac{1}{2} ) \: days \\ = (1 \times 2) \: days \\ = 2 \: days[/tex]

So if x and y do the same work together they will finish it within - 2 days

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