Ram and Shyam together can do a work in $16$ days. Shyam takes twice time as Ram takes to do the same work. In how many days Shyam alone can complete that work?

16

days

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32

days

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24

days

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40

days

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48

days

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Solution

The correct option is E $48$ days
Given,

Shyam+Ram=Shyam-Ram

$\Rightarrow \frac{1}{2 x} + \frac{1}{x} = \frac{1}{16}$

$8 + 16 = x$

$∴ x = 24$

Total days Shyam takes to complete work $= 2 x = 2 \times 24 = 48$ days

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Ram and Shyam together can do a work in 16 days. Shyam takes twice time as Ram takes to do the same work. In how many days Shyam alone can complete that work?

The correct option is E 48 daysGiven,Shyam+Ram=Shyam-Ram⇒12x+1x=1168+16=x∴x=24Total days Shyam takes to complete work =2x=2×24=48 days

Ram and Shyam together can do a work in $16$ days. Shyam takes twice time as Ram takes to do the same work. In how many days Shyam alone can complete that work?

The correct option is E $48$ days
Given,

Shyam+Ram=Shyam-Ram

$\Rightarrow \frac{1}{2 x} + \frac{1}{x} = \frac{1}{16}$

$8 + 16 = x$

$∴ x = 24$

Total days Shyam takes to complete work $= 2 x = 2 \times 24 = 48$ days