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 step by step:
Step 1: Let's assume the time taken by B alone to finish the work is x days.
Step 2: Since A is thrice as good as B, A will take x/3 days to finish the same work.
Step 3: According to the problem, A takes 60 days less than B to finish the work. So, x/3 = x - 60.
Step 4: Solving this equation, we get x = 90 days. So, B alone can finish the work in 90 days and A alone can finish the work in 90/3 = 30 days.
Step 5: If A and B work together, they can finish 1/30 + 1/90 = 4/90 of the work in a day.
Step 6: Therefore, A and B together can finish the work in 90/4 = 22.5 days.
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