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Select the correct answerA is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together?Options18 days24 days26 days22 ½ days

Question

Select the correct answerA is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together?Options18 days24 days26 days22 ½ days

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Solution

Sure, let's solve this step by step:

  1. Let's assume the amount of work to be 1 unit.

  2. If A is thrice as good as B in work, then if B does 1 unit of work, A does 3 units of work.

  3. Let's say B takes 'b' days to finish the work. According to the problem, A takes 'b-60' days to finish the work.

  4. So, the work done by B in one day is 1/b and the work done by A in one day is 1/(b-60).

  5. But we know that A does 3 times the work of B in a day. So, 1/(b-60) = 3*(1/b). Solving this equation, we get b = 90 days.

  6. So, A takes 'b-60' = 90-60 = 30 days to finish the work.

  7. If A and B work together, the work done by them in one day is 1/30 + 1/90 = 4/90 = 2/45.

  8. So, they will take 45/2 = 22.5 days to finish the work together.

So, the correct answer is 22 ½ days.

This problem has been solved

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