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Raju is twice as good as Vijay. Together, they finish the work in 14 days. In how many days canVijay alone do the same work?
  • a)
    16 days
  • b)
    21 days
  • c)
    32 days
  • d)
    42 days
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Raju is twice as good as Vijay. Together, they finish the work in 14 d...
Raju being twice as good a workman as Vijay, you can solve the following equation to get the
required answer:
1/R + 1/2R = 1/14.
Solving will give you that Vijay takes 42 days.
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Most Upvoted Answer
Raju is twice as good as Vijay. Together, they finish the work in 14 d...
Given: Raju is twice as good as Vijay
Together they finish the work in 14 days

Let's assume that Vijay can do the work alone in x days.

Raju can do the same work alone in half the time taken by Vijay.
Therefore, Raju can do the same work alone in x/2 days.

We know that they together finish the work in 14 days.
So, in 1 day they together complete 1/14th of the work.

Let's now use the concept of work done.
Work done by Vijay in 1 day = 1/x
Work done by Raju in 1 day = 1/(x/2) = 2/x

Work done by Vijay and Raju together in 1 day = 1/14

Now, we can form the equation:
1/x + 2/x = 1/14
Simplifying this equation, we get:
3/x = 1/14
x = 42

Therefore, Vijay can do the same work alone in 42 days.

Hence, the correct answer is option D (42 days).
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Raju is twice as good as Vijay. Together, they finish the work in 14 days. In how many days canVijay alone do the same work?a)16 daysb)21 daysc)32 daysd)42 daysCorrect answer is option 'D'. Can you explain this answer?
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