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A is twice as good a workman as B and is, therefore, able to finish a piece of work in 30 days less than B. In how many days, they can complete the whole work working together?
  • a)
    10 days
  • b)
    15 days
  • c)
    20 days
  • d)
    25 days
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A is twice as good a workman as B and is, therefore, able to finish a...
Answer : 
  • c)20 days
A is twice as good as B as a workman. A takes 30 days less than B. How many days do both complete the work?
Let B take 60 days to complete the work, working alone. So he does (1/60)th of the work in a day.
A take 30 days to complete the work, working alone. So he does (1/30)th of the work in a day.
(1/60)+(1/30) = (1/60+(2/60) = 3/60 = 1/20
So A and B together will complete the work in 20 days.

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Most Upvoted Answer
A is twice as good a workman as B and is, therefore, able to finish a...
Given, A is twice as good a workman as B and finishes a piece of work in 30 days less than B.

Let us assume that B takes x days to complete the work.

Therefore, A will take x/2 days to complete the work.

Also, A takes 30 days less than B to complete the work.

So, x - 30 is the number of days taken by A to complete the work.

Now, we can equate the work done by A and B.

Work done by A = Work done by B

(Amount of work completed in one day by A) * (Number of days taken by A to complete the work) = (Amount of work completed in one day by B) * (Number of days taken by B to complete the work)

[(1/x/2) * (x - 30)] = [(1/x) * x]

Solving the above equation, we get:

x = 90

Therefore, B takes 90 days to complete the work.

A takes half the time taken by B to complete the work.

So, A takes 45 days to complete the work.

The combined work done by A and B in one day is:

(1/45) + (1/90) = (3/90) = (1/30)

Therefore, working together, A and B can complete the work in 30 days.

Hence, the correct answer is option C - 20 days.
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