A is thrice as good as B and he is able to finish the work 60 days less than B. In how many days they will finish the same work together?
Question
A is thrice as good as B and he is able to finish the work 60 days less than B. In how many days they will finish the same work together?
Solution
Sure, let's solve this problem step by step.
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Let's assume that B takes 'x' days to complete the work. According to the problem, A is thrice as good as B, which means A can finish the work in 'x/3' days.
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The problem also states that A can finish the work 60 days less than B. So, 'x/3' is equal to 'x - 60'.
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Solving this equation, we get x = 90 days. So, B takes 90 days to complete the work and A takes 30 days (90/3) to complete the same work.
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If A and B work together, they can complete 1/30 + 1/90 = 4/90 of the work in a day.
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Therefore, they will take 90/4 = 22.5 days to complete the work together.
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