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Sharika can finish the work in 6 days and Palkey can do the same work in 8 days. They both worked together for for 2 days then Palkey left the work. How many days will Sharika take to finish the remainig work.

1 Answer

5 votes

Answer:

Sharika needs 2.5 days to finish the remaining work

Explanation:

Sharika can do a work in 6 days palkey can do it in 8 days

Then the amount of work sharika can do in 1 day = 1/6

And the amount of work palkey can do in 1 day = 1/8

The amount of work both of them can do together in 1 day = 1/6 + 1/8

= 7/24

The amount of work both of them can do together in 2 day = (2× 7/24)

= 7/12

Since Palkey left the work,the amount of

work remaining for Sharika to do alone = (1 - 7/12 )

= 5/12

The number of days Sharika take to finish the remainig work. = (5/12 ÷ 1/6 )

= 5/2 days

Therefore, Sharika needs 2.5 days to finish the remaining work.

User Daniel Strul
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